When two dice are thrown the probability that the difference of the point on the dice is 2 or 3
Answers
Answer:
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Answer: 7/18
Step-by-step explanation:
When two dice are rolled together the total outcomes are 36 and
Sample space is
[ (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) ]
Pairs with difference 2 are (1, 3) (2, 4) (3,1) (3, 5) (4, 2) (4,6) (5, 3) (6, 4) i.e. total 8 pairs
Pairs with difference 3 are (1, 4) (2, 5) (3,6) (4, 1) (5, 2) (6,3) i.e. total 6 pairs
Total outcomes = 36
Favorable outcomes = 6 + 8
The probability of getting pair with a difference of the points on the dice is 2 or 3
= Favorable outcomes / Total outcomes = 14 / 36 = 7/18
So, P(2,3) = 7/18.