Chapter 15, Problem 45P

(a)

To determine

The probability to obtain the given number when two dices are thrown.

Answer to Problem 45P

The probability to obtain 5 is $\frac{1}{9}$ .

Explanation of Solution

Given:

Two dices are thrown.

The given number is 5.

Calculation:

To obtain 5 from two dices, there are four possibilities [(4,1), (1,4), (2,3), (3,2)]. Calculate the probability.

  $\begin{array}{c}\text{Probability}=\frac{4}{36}\\ =\frac{1}{9}\end{array}$

Conclusion:

Therefore, the probability to obtain 5 is $\frac{1}{9}$ .

(b)

To determine

The probability to obtain the given number when two dices are thrown.

Answer to Problem 45P

The probability to obtain 11 is $\frac{1}{18}$ .

Explanation of Solution

Given:

Two dices are given.

The given number is 11.

Calculation:

To obtain 11 from two dices, there are two possibilities[(5,6), (6,5)]. Calculate the probability.

  $\begin{array}{c}\text{Probability}=\frac{2}{36}\\ =\frac{1}{18}\end{array}$

Conclusion:

Therefore, the probability to obtain 11 is $\frac{1}{18}$ .