How many possibilities are there in selecting one card from the pack of 52 cards?
Mathematics Part I (solutions) Solutions for Class 10 Math Chapter 5 Probability are provided here with simple step-by-step explanations. These solutions for Probability are extremely popular among Class 10 students for Math Probability Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the Mathematics Part I (solutions) Book of Class 10 Math Chapter 5 are provided here for you for free. You will also love the ad-free experience on Meritnation’s Mathematics Part I (solutions) Solutions. All Mathematics Part I (solutions) Solutions for class Class 10 Math are prepared by experts and are 100% accurate. Show Page No 116:Question 1:How many possibilities are there in each of the following? Answer:(1) Total number of possible palces in Maharashtra which can Vanita visits = 8 Page No 117:Question 1:For each of the following experiments write sample space ‘S’ and number of sample points n(S). Answer:(1) Sample Space (S) = {1H, 1T, 2H, 2T, 3H, 3T, 4H, 4T, 5H, 5T, 6H, 6T} Page No 118:Question 2:The arrow is rotated and it stops randomly on the disc. Find out on which colour it may stop. Answer:Sample Space (S) = {Red, Purple, Orange, Yellow, Blue, Green} Page No 118:Question 3:In the month of March 2019, Find the days on which the date is
a multiple of 5. (see the given page of the calender) Answer:The dates multiple of 5 are 5, 10, 15, 20, 25 and 30 Page No 118:Question 4:Form a ‘Road safety commitee’ of two, from 2 boys (B1, B2) and 2 girls(G1, G2). Complete the following activity to write the sample space. (b) Committee of 2 girls = x (c) Committee of one boy and one girl = B1 G1 x x x ∴ Sample space = {..., ..., ..., ..., ..., ...} Answer:(a) Committee of 2 boys = B1, B2 (b) Committee of 2 girls = G1, G2 (c) Committee of one boy and one girl = (B1, G1), (B1, G2), (B2, G1), (B2, G2) ∴ Sample space = {(B1, B2), (G1, G2), (B1, G1), (B1, G2), (B2, G1), (B2, G2)} Page No 121:Question 1:Write sample space ‘S’ and number of sample point n(S) for each of the following experiments. Also write
events A, B, C in the set form and write n(A), n(B), n(C). (2) Two dice are rolled simultaneously, (3) Three coins are tossed simultaneously. (4) Two digit numbers are formed using digits 0, 1, 2, 3, 4, 5 without repetition of the digits. (5) From three men and two women, environment committee of two persons is to be formed. (6) One coin and one die are thrown simultaneously. Answer:(1) Sample Space = {1, 2, 3, 4, 5, 6} ∴ n(S) = 36 B = {(4, 6) (5, 5) (5, 6) (6, 4) (6, 5) (6, 6)} (3) Sample Space (S) = {HHH,
HHT, HTT, HTH, THT, TTH, THH, TTT} (4) Sample Space (S) = {10, 12, 13, 14, 15, 20, 21, 23, 24, 25, 30, 31, 32, 34, 35, 40, 41, 42, 43, (5) S = {M1M2, M1M3, M1F1, M1F2, M2M3, M2F1, M2F2, M3F1, M3F2, F1F2} (6) S = {H1, H2, H3, H4, H5, H6 T1, T2, T3,
T4, T5, T6} Page No 125:Question 1:If two coins are tossed, find the probability of the following events. Answer:Sample Space (S) = {HH, HT, TT, TH} Page No 125:Question 2:If two dice are rolled simultaneously, find the probability of the following events. Answer:Sample SpaceS=1,1
1,21,31,41,51,62,12,2
2,32,42,52,63,13,23,3
3,43,53,64,14,24,34
,44,54,65,15,25,35,4
5,55,66,16,26,36,46,5
6,6 (1) Event A: sum of the digits on the upper faces is at least 10 (3) Event C: digit on the first die is greater than the digit on second die Page No 125:Question 3:There are 15 tickets in a box, each bearing one of the numbers from 1 to 15. One ticket is drawn at random from the box. Find the probability of event that the ticket drawn - Answer:Sample
Space (S) = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15} (1) Event A: the ticket shows an even number Page No 125:Question 4:A two digit number is formed with digits 2, 3, 5, 7, 9 without repetition. What is the probability that the number formed is Answer:Sample Space (S) = {23, 25, 27,
29, 32, 35, 37, 39, 52, 53, 57, 59, 72, 73, 75, 79, 92, 93, 95, 97} (1) Event A: the number is odd Page No 125:Question 5:A card is drawn at random from a pack of well shuffled 52 playing cards. Find the probability that the card drawn is – Answer:(1) Page No 126:Question 1:Choose the correct alternative answer for each of the following questions.
(2) A die is rolled. What is the probability that the number appearing on upper face is less than 3 ?
(3) What is the probability of the event that a number chosen from 1 to 100 is a prime number ?
(4) There are 40 cards in a bag. Each bears a number from 1 to 40. One card is drawn at random. What is the probability that the card bears a number which is a multiple of 5 ?
(5) If n(A) = 2, P(A) = 15 , then n(S) = ?
Answer:(1) (3) (4) (5) Page No 126:Question 3:In a hockey team there are 6 defenders , 4 offenders and 1 goalee. Out of these, one player is to be selected randomly as a captain. Find the
probability of the selection that – Answer:Given: Page No 126:Question 4:Joseph kept 26 cards in a cap, bearing one English alphabet on each card. One card is drawn at random. What is the probability that the card drawn is a vowel card ? Answer:Let S be the sample space. Page No 126:Question 5:A balloon vendor has 2 red, 3 blue and 4 green balloons. He wants to choose one of them at random to give it to Pranali. What is the probability of the event that Pranali gets, Answer:Given: Page No 127:Question 6:A box contains 5 red, 8 blue and 3 green pens. Rutuja wants to pick a pen at random. What is the probability that the pen is blue? Answer:Total number of pens = 5 + 8 + 3 Page No 127:Question 7:Six faces of a die are as shown below. If the die is rolled once, find the probability of - (1) ‘A’ appears on upper face. (2) ‘D’ appears on upper face. Answer:Total number of faces = 6 Page No 127:Question 8:A box contains 30 tickets, bearing only one
number from 1 to 30 on each. If one ticket is drawn at random, find the probability of an event that the ticket drawn bears Answer:Total number of tickets = 30 Page No 127:Question 9:Length and breadth of a rectangular garden are 77 m and 50 m. There is a circular lake in the garden having diameter 14 m. Due to wind, a towel from a terrace on a nearby building fell into the garden. Then find the probability of the event that it fell in the lake. Answer:Area of the garden = 77 x 50 Page No 127:Question 10:In a game of chance, a spinning arrow comes to rest at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8. All these are equally likely outcomes. Find the probability that it will rest at (1) 8. (2) an odd number. (3) a number greater than 2. (4) a number less than 9 Answer:Total number of outcomes = 8 Page No 127:Question 11:There are six cards in a box, each bearing
a number from 0 to 5. Find the probability of each of the following events, that a card drawn shows, Answer:Total number of cards = 6 Page No 128:Question 12:A bag contains 3 red, 3 white and 3 green balls. One ball is taken out of the bag at random. What is the probability that the ball drawn is – Answer:Total number of balls = 3 + 3 + 3 Page No 128:Question 13:Each card bears one letter from the word ‘mathematics’ The cards are placed on a table upside down. Find the probability that a card drawn bears the letter ‘m’. Answer:Total number of letters in word 'mathematics' = 11 Page No 128:Question 14:Out of 200 students from a school, 135 like Kabbaddi and the remaining students do not like the game. If one student is selected at random from all the students, find the probability that the student selected dosen't like Kabbaddi. Answer:Total
number of students = 200 Page No 128:Question 15:A two digit number is to be formed from the digits 0, 1, 2, 3, 4. Repetition of the digits is allowed. Find the probability that the number so formed is a - Answer:Two digits numbers which can be formed
using the digits 0, 1, 2, 3, 4 are 10, 11, 12 ,13 ,14 ,20, 21 ,22, 23, 24, 30, 31, 32, 33, 34, 40, 41, 42, 43 and 44 (2) Number of favourable
outcomes (multiple of 4) = 12, 20, 24, 32, 40 and 44 Page No 128:Question 16:The faces of a die bear numbers 0, 1, 2, 3, 4, 5. If the die is rolled twice, then find the probability that the product of digits on the upper face is zero. Answer:Total number of outcomes = 62 Page No 128:Question 17:Do the following activity - Number of students from your class, wearing spectacles, n(A) = x Probability of a randomly selected student wearing spectacles, P(A) = x Probability of a randomly selected student not wearing spectacles, P(B) = x Activity II : Decide the sample space yourself and fill in the following boxes. Answer:Activity I : Total number of students in your class, n(S) = 40 Number of students from your class, wearing spectacles, n(A) = 6 Probability of a randomly selected student wearing spectacles, P(A) = 640 Probability
of a randomly selected student not wearing spectacles, P(B) = 40-640 Activity II : =510=12 View NCERT Solutions for all chapters of Class 10 How many possibilities on there select one card from the pack of 52 cards?Solution: (a) When a card is selected from a pack of 52 cards, the number of possible outcomes is 52.
How many possibilities is there in a deck of cards?No one has or likely ever will hold the exact same arrangement of 52 cards as you did during that game. It seems unbelievable, but there are somewhere in the range of 8x1067 ways to sort a deck of cards. That's an 8 followed by 67 zeros.
How many pairs of cards can you choose from a 50 2 card deck?There are 13 different value cards and 4 suits, giving us 13*4 =52 impossible pairs of duplicate cards that must be subtracted from the total number of ways to pick a pair of cards. So 2,704 — 52 = 2,652.
How are pack of 52 cards divided?A standard 52-card deck comprises 13 ranks in each of the four French suits: clubs (♣), diamonds (♦), hearts (♥) and spades (♠). Each suit includes three court cards (face cards), King, Queen and Jack, with reversible (double-headed) images. Each suit also includes ten numeral cards or pip cards, from one to ten.
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