Chapter 7.3, Problem 7.59E

(a)

To determine

To construct: a tree diagram to represent this chance process.

Explanation of Solution

Graph:

A coin tossed 4 times, H represent head and T represent tail in this diagram

A coin is tossed 4 time times in each time it gives two probability head and tail which is looking forth.

(b)

To determine

To Calculate: the probability that get at least one head.

Answer to Problem 7.59E

0.9375

Explanation of Solution

Formula used:

  $\text{Probability}\text{=}\frac{\text{Favourable Cases}}{\text{Total}\text{Cases}}$

Calculation:

  $\begin{array}{l}\text{Total sample space = 16}\hfill \\ \text{Favourable outcomes =15}\hfill \end{array}$

  $\begin{array}{c}\text{Probability}\text{=}\frac{\text{Favourable Cases}}{\text{Total}\text{Cases}}\\ \text{=}\frac{\text{15}}{\text{16}}\\ \text{=0}\text{.9375}\end{array}$