Question

Within the United States, approximately 11.25% of the population is left-handed. Of the males, 12.6% are left-handed, compared to only 9.9% of the females. If a person is selected at random, what is the probability that the selected person is a female, given the person is right-handed?

Answer 1

Answer: Our required probability is 45.05%.

Explanation:

Since we have given that

Males Females total

Left handed 6.3 4.95 11.25%

Right handed 43.7 45.05 88.75%

Total 50% 50% 100%

Since 12.6% of 50% are males are left handed = 6.3%

So, 9.9% of 50% are females are left handed = 4.95%

So, Females who are right handed would be

`50\%-4.95\%\\\\=45.05\%`

Hence, our required probability is 45.05%.