14a) Kevin asked a random group of students what theirfavorite class was, and the results are below.If Kevin were to randomly select a boy to explain whichclass was his favorite, what is the probability that he willpick a boy who likes History?A. 19.6%BoysGirlsMath810B. 29.3%English1517C. 35.3%Science105History 189D. 52.9%

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03-11-2022
Mathematics

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14a) Kevin asked a random group of students what theirfavorite class was, and the results are below.If Kevin were to randomly select a boy to explain whichclass was his favorite, what is the probability that he willpick a boy who likes History?A. 19.6%BoysGirlsMath810B. 29.3%English1517C. 35.3%Science105History 189D. 52.9%

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StephaneQ606022 StephaneQ606022 · Answer 1 · 2022-11-03T09:52:22+01:00

If Kevin were to randomly select a boy from this table, this means that we need to add up the total number of boys in this sample in order to find the denominator of the fraction we are dealing with.

Let's add the number of boys up:

[tex]8+15+10+18=51[/tex]

Now, the probability that a randomly selected boy likes History is the number of boys who said they like History divided by the total number of boys.

We already have the total number of boys, so now we need to find the number of boys who said they like History, which is 18 based off of the table.

The probability that Kevin will pick a boy who likes History is C) 35.3%.

[tex]\frac{18}{51}=.353[/tex]