Question

A set of cards contains the numbers 1 through 20. Mathieu chooses a card a random, records the number of the card, and then returns the card to the set. He conducts 200 trials of this event. Based on the theoretical probability, how many times can Mathieu expect to choose a multiple of 5?

Answer 1

Chance of multiple of 5 is 4 / 20 or 1 / 5.
This means that the answer is 200 / 5
Answer = 40

Answer 2

Answer: There are 40 times that Mathieu can expect to choose a multiple of 5.

Explanation:

Since we have given that

Numbers between 1 to 20 = 20

Numbers which are divisible by 5 = 4

i.e. {5,10,15,20}

So, Probability that getting a number divisible by 5 is given by

`(4)/(20)=(1)/(5)`

If the number of trials = 200

Then, Number of times Mathieu expect to choose a multiple of 5 is given by

`(1)/(5)* 200\\\\=40`

Hence, there are 40 times that Mathieu can expect to choose a multiple of 5.