Question

In: Statistics and Probability

1. (a) List the sample space in the experiment "roll two dice - a red die...

1. (a) List the sample space in the experiment "roll two dice - a red die and a white die." (Hint: Use a table)

(b) Find the probability that the sum of the numbers on the two dice is less than seven.

(c) Find the probability that the sum of the numbers on the two dice is odd.

Expert Solution

a) There is 6 number in one die

two dies are rolled than there is a total of 6*6 = 36 possible outcome in 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)

b) There is a total of 15 outcome that have sum less than 7

The probability that the sum of the numbers on the two dice is less than seven =

c) There is a total of 18 outcome that have sum of odd

The probability that the sum of the numbers on the two dice is odd =

orchestra answered 2 years ago

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