Two dice are thrown together the probability of getting the same number on both the dice
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Given, two dice are thrown at the same time. We have to find the probability of getting a different number on both dice. When 2 dice are thrown at the same time, the overall possible outcomes are (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) (6,1) (6,2) (6,3) (6,4) (6,5) (6,6) Total number of possible outcomes = 36 The possibility of getting different number is {(1,2) (1,3) (1,4) (1,5) (1,6) (2,1) (2,3) (2,4) (2,5) (2,6) (3,1) (3,2) (3,4) (3,5) (3,6) (4,1) (4,2) (4,3) (4,5) (4,6) (5,1) (5,2) (5,3) (5,4) (5,6) (6,1) (6,2) (6,3) (6,4) (6,5)} Number of favourable outcomes = 30 Number of possible outcome = 36 Probability = number of favourable outcomes / number of possible outcomes Probability of getting different number = 30/36 = 10/12 = 5/6 Therefore, the probability of getting a different number is 5/6. ✦ Try This: Three dice are thrown at the same time. Find the probability of getting the same number on all dice. ☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 14 NCERT Exemplar Class 10 Maths Exercise 13.3 Problem 19(ii) Two dice are thrown at the same time. Find the probability of getting different numbers on both diceSummary: Two dice are thrown at the same time. The probability of getting different numbers on both dice is 5/6 ☛ Related Questions:
Two dice are thrown simultaneously. What is the probability of getting the same number on both the dice?
Answer (Detailed Solution Below)Option 1 : 1/6 Free 150 Questions 150 Marks 150 Mins Given: Two dice are thrown simultaneously Calculation: When two dice are thrown simultaneously, Number of possible outcomes are 36. If getting the same number on both dice is taken as event, Then for the 1st event, ⇒ Number of outcomes are 6. For 2nd event, ⇒ Number of outcomes/total number of possible outcomes ⇒ 6/(6 × 6) ⇒ 1/6 ∴ The probability of getting the same number of both the dice is 1/6. Last updated on Sep 26, 2022 The Uttar Pradesh Basic Education Board (UPBEB) is all set to invite fresh applications for the UP SUPER TET (Teacher Eligibility Test) Exam. The said exam is conducted to recruit candidates for the post of Assistant Teacher & Principal in Junior High Schools across the state of Uttar Pradesh. The vacancy is expected to be somewhere around 17000. The minimum eligibility criteria for the Assistant Teacher posts is graduation whereas for the posts of Principal it shall be graduation accompanied by 5 years of teaching experience. The willing candidates can go through the UP SUPER TET Syllabus and Exam Pattern from here. Total number of outcomes = 36. Getting the same number on both the dice means (1, 1), (2, 2), (3, 3), (4, 4), (5, 5) and (6, 6). Numbers of favourable outcomes = 6. ∴ P(getting the same number on both dice) =`("Number of favourable outcomes")/"Number of all possible outcomes"` =`6/36 = 1/6` Thus, the probability of getting the same number on both dice is `1/6`. Hence, the correct answer is option `1/6`. Two dice are thrown together. The probability of getting the same number on both dice is
When two dice are thrown together, all possible outcomes are When rolling two dice What is the probability of getting the same number on both dice doubles )?So we have 36 outcomes, and if you simplify this, 6/36 is the same thing as 1/6. So the probability of rolling doubles on two six-sided dice numbered from 1 to 6 is 1/6.
When two dice are thrown find the probability of getting same numbers on both dice * 1 point 2 3 1 6 1 12 1?` P(getting the same number on both dice) =`6/36 = 1/6`.
When two dice are thrown the probability of getting unequal numbers in both is?Given, two dice are thrown at the same time. We have to find the probability of getting a different number on both dice. Therefore, the probability of getting a different number is 5/6.
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