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.

Solutions

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 1 year ago

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