Chapter 11, Problem 23MCQ

Solution

To find the probability.

  $P\left(\text{less than 10|less than 13}\right)=\frac{5}{10}=0.5$

Given information:

The sample space is:

(5, 6, 7, 8, 9, 10, 11, 12, 13, 14)

Concept:

Experimental probability is:

  $P\left(\text{event}\right)=\frac{\text{number of times event occurs}}{\text{number of trials}}$

Calculation:

Total number of elements in the sample space are 10.

Now, the element chosen should be less than 10, also it is given that the number is less than 13. Hence there are only 5 possibilities out of 10.

  $P\left(\text{less than 10|less than 13}\right)=\frac{5}{10}=0.5$

Conclusion:

Hence,

  $P\left(\text{less than 10|less than 13}\right)=\frac{5}{10}=0.5$