Chapter 10.1, Problem 12E

To determine

To calculate:

Probability that number drawn is greater than $4$ .

Answer to Problem 12E

The probability of the event number drawn is greater than $4$ is $\frac{13}{15}$ .

Explanation of Solution

Given information:

Statement: The probability that the number is less than $4$ is $\frac{3}{30}$ or $\frac{1}{10}$ . So the probability that he number is greater than $4$ is $1-\frac{1}{10}$ or $\frac{9}{10}$ .

Calculation:

The question is related to the favorable event.

Event considered as drawing of a number from the given number of $1$ to $30$ .

Possible events which can be obtained from the random experiment of drawing number o random from the given list of numbers from $1$ to $30$ , which can be obtained as below:

  $P$ (Number greater than $4$ )

  $=1-P$ (Number less than or equal $4$ )

  $\begin{array}{l}=1-\frac{4}{30}\\ =\frac{26}{30}\\ =\frac{13}{15}\end{array}$

Hence, the probability of the event number drawn is greater than $4$ is $\frac{13}{15}$ .

So, error observed in result of the given statement as probability of the event is $\frac{13}{15}$ and not $\frac{9}{10}$ .