If two dice are rulled simultaneously find the probability of the following events:
(a) The sum of the digits on the upper faces is at least 10.
(b) The sum of the digits on the upper faces is 33.
(c) The digits on the first die is greater than the digit on second die
Answers
Answer:
Step-by-step explanation:
Sample space- (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)
(a) Sum of the digits on the upper faces atleast 10=
the word "atleast" tells that the sum must be 10 or more, so,
The probability(Sum of the digits on the upper faces atleast 10)=6/36
(b)Probability(The sum of the digits on the upper faces is 33)=
0/36=0
(c)Probability(The digits on the first die is greater than the digit on second die )=
15/36
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Answer:
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