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If 2 dice are thrown what is the probability of getting the same digits on both dice?
- a)1/3
- b)1/6
- c)1/36
- d)1/12
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If 2 dice are thrown what is the probability of getting the same digit...
When two dice are thrown together, then the total number of all possible outcomes
{(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)}
∴ n(S) = 6 × 6 = 36
The favorable outcome of getting the same number on both dice is:
(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6).
∴ The number of favorable outcomes = 6
∴ Required probability = 6/36
= 1/6
Most Upvoted Answer
If 2 dice are thrown what is the probability of getting the same digit...
When two dice are thrown together, then the total number of all possible outcomes
{(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)}
∴ n(S) = 6 × 6 = 36
The favorable outcome of getting the same number on both dice is:
(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6).
∴ The number of favorable outcomes = 6
∴ Required probability = 6/36
= 1/6
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If 2 dice are thrown what is the probability of getting the same digits on both dice?a)1/3b)1/6c)1/36d)1/12Correct answer is option 'B'. Can you explain this answer?
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