Question

If you roll a pair of dice, what is the probability that (at least) one of the dice is a 4 or the sum of the dice is a 7?

Answer 1

n(s) =36
n(A)=2

P(A)=n(A) /n(s)
=2/36
=1/18

The probability is 1/18.

Answer 2

Given: roll a pair of dice

To Find: The probability that (at least) one of the dice is a 4 or the sum of the dice is a 7

Solution:

The total number of outcomes when a pair of dice is rolled =36

Number of outcomes to get a 4 on one of the dice = 1

Number of outcomes the sum of the dice is a 7 = 1

The probability that the number of outcomes to get a 4 on one of the dice = 1/36

The probability that the number of outcomes the sum of the dice is a 7 = 1/7

Total Probability = 1/36+1/36 = 2/36

= 1/8

Therefore, the probability that (at least) one of the dice is a 4 or the sum of the dice is a 7 is 1/8.

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