Chapter 13.10, Problem 31STP

To determine

Find the probability of tossing heads and spinning an odd number.

  

  $\frac{1}{2}\times \frac{3}{5}$ B. $\frac{1}{2}+\frac{3}{5}$ C. $\frac{1}{2}\times \frac{2}{5}$ D. $\frac{1}{2}\times \frac{2}{5}$

Answer to Problem 31STP

The correct option is A. $\frac{1}{2}\times \frac{3}{5}$

Explanation of Solution

Given:

  

Calculation:

When the quarter is tossed possible outcomes are head and tail so the probability of the head tossing is as follows,

  $P\left(head\right)=\frac{1}{2}$

Out of the $5$ sections of spinners $3$ are odds so the probability of getting a odd is,

  $P\left(odd\right)=\frac{3}{5}$

So the quarter and the spinner are independent and the probability of the head and odd is as follows,

  $\begin{array}{l}P\left(oddandhead\right)=P\left(head\right)p\left(odd\right)\\ P\left(oddandhead\right)=\frac{1}{2}\times \frac{3}{5}\end{array}$

Conclusion:

Hence, the correct option is A. $\frac{1}{2}\times \frac{3}{5}$