These are the right answers, I just need explanation for the last two only. Don\

Question

These are the right answers, I just need explanation for the last two only. Don't solve the rest !!

Below is a two-way table showing the relationship between type of food preference and gender Female 15 35 50 Total 43 57 100 Male 28 Savory Sweet Total 50 1. If a person is randomly selected, what is the probability that they will prefer savory food? Round your answer to two decimal places. 0.43 2. If a person is randomly selected, what is the probability that they will be a female and prefer sweet food? Round your answer to two decimal places. 0.35 3· If a person is randomly selected, what is the probability that they will be a female or prefer sweet food? Round your answer to two decimal places. 0.72 4. If a person is randomly selected, what is the probability that they will be female given they prefer sweet food? Round your answer to two decimal places. 0.61 5. If a person is randomly selected, what is the probability that they prefer sweet food given they are? Round your answer to two decimal places. 0.70 6. If two unique people are randomly selected, what is the probability that they both prefer sweet food? Round your answer to four decimal places. 0.3224 7· lf two unique people are randomly selected, what is the probability that the first one prefers sweet food and the second savory food? Round your answer to four decimal places 0.2476 8. If two unique people are randomly selected, what is the probability that one of them prefers sweet food and the other savory food? Round your answer to four decimal places. 0.4952 ,

Explanation / Answer

7) P(first one prefers sweet food and second savory food) = P(first one prefers sweet food) * P(second one prefers savory food)

                                                     = (57/100) * (43/99)

                                                     = 0.2476

NOTE: Here for second probability 99 is considered because after 1st selection there will be total 99 left.

8) P(one prefers sweet food and other savory food) = P(first one prefers sweet food) * P(second one prefers savory food) + P(first one prefers savory food) * P(second one prefers sweet food)

                                                             = (57/100) * (43/99) + (43/100) * (57/99)

                                                             = 0.4952

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