Question

You randomly select an integer from 0 to 19 ​(inclusively) and then randomly select an integer from 0 to 24 ​(inclusively). What is the probability of selecting 5 both​ times?

Answer 1

Answer:

The probability of selecting 5 both​ times is 0.002.

Step-by-step explanation:

We are given that you randomly select an integer from 0 to 19 ​(inclusively) and then randomly select an integer from 0 to 24 ​(inclusively).

And we have to find the probability of selecting 5 both​ times.

As we know that the probability of an event is given by;

                Probability = $\frac{\text{Favorable number of outcomes}}{\text{Total number of outcomes}}$

Now, here between integer from 0 to 19 ​(inclusively);

Number of times 5 comes = 1

Total number of integers = 20

Similarly, between integer from 0 to 24 ​(inclusively);

Number of times 5 comes = 1

Total number of integers = 25

So, the required probability = $\frac{1}{20}\times \frac{1}{25}$

                                              = $\frac{1}{500}$ = 0.002

Hence, the probability of selecting 5 both​ times is 0.002.