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in a group of 100 children, 28 have the first initial r, 14 have the last initial r, and 5 have both first and last initial r. if a child is selected at random, find the probability that the child has a first or last initial r. (round your answer to two decimal places.)



Answer :

The required probability that the child has a first or last initial r is 0.37.

Explain probability.

A probability is a number that mirrors the opportunity or probability that a specific occasion will happen. Probabilities can be communicated as extents that reach from 0 to 1, and they can likewise be communicated as rates going from 0% to 100 percent.

According to question:

We have,

n(F) = 28, n(L) = 14, n(F∩L) = 5

We know that

n(F∪L) = n(F) +  n(L) -  n(F∩L)

n(F∪L) = 28 + 14 - 5

n(F∪L) = 37

Then, Probability = n(F∪L) /total number

P(F∪L) = 37/100 = 0.37

Thus, required probability is 0.37.

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