Chapter 0.3, Problem 13E

To determine

To find Probability of outcome where a coin is randomly selected.

Answer to Problem 13E

  $P=\frac{9}{28}$

Explanation of Solution

Given Information: A coin is randomly selected

Formula Used : $P=\frac{PossibleOutcomes}{TotalOutcomes}$

Calculation:

Total outcomes-

  $65+27+30+18=140$

When a coin is randomly selected total number of outcomes is 1.

Nickel or quarter-

  $27+18=45$

To find the probability of outcome where a coin is randomly selected is nickel or quarter, the possible outcomes will be 45.

  $P\left(NikelorQuarter\right)=\frac{PossibleOutcomes}{TotalOutcomes}$

So-

  $P=\frac{45}{140}$

Hence the final answer is,

  $P=\frac{9}{28}$