Two fair dice are tossed. Which of the following events is more likely to occur. Find the probability of the following events and explain your answer.
Event A: The two numbers are consecutive numbers.
Event B: The two numbers are the same.
Probability
2011-02-03 11:51 pm
回答 (1)
2011-02-04 12:07 am
✔ 最佳答案
The sample space is {(1,1),(1,2).....(6,6)}The points in A are {(1,2),(2,3),(3,4),(4,5),(5,6),(2,1),(3,2),(4,3),(5,4),(6,5)}
The points in B are {(1,1),(2,2),(3,3),(4,4),(5,5),(6,6)}
P(A) = 10/36 = 5/18
P(B) = 6/36 = 1/6 < 5/18 = P(A)
So, event A is more likely to occur.
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