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A set of cards contains the numbers 1 through 20. Mathieu chooses a card at 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?

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the answer is 40 i just had the test

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

Step-by-step explanation:

Since we have given that

Number written on a set of cards from 1 to 20

We require the number which is a multiple of 5.

So, the set of number which is a multiple of 5 is given by

{5, 10, 15, 20}

So, probability of getting a number which is a multiple of 5 is given by

[tex]\frac{4}{20}\\\\=\frac{1}{5}[/tex]

According to question, he conducts 200 trials of this event.

So, Number of times Mathieu can expert to choose a multiple of 5 is given by

[tex]\frac{1}{5}\times 200\\\\=40[/tex]

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

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