kindly answer no.7 1.How many three person committees can be chosen from a group of six people?2. Dylan, Andrew, Hailey, and Jordan ran in a race of 25 people. In how many differentorders can they finish the race if they won 1st, 2nd, 3rd and 4th place?3. There are 6 things in a hat. How many ways can you pick 2 things from the hat atonce?4. In how many ways can Dylan, Taylor, Sydney, Alyssa, Natalie, and Madison stand inline?5. Sara has 10 different ribbons to wear in her hair. How many different ways could shearrange to wear the ribbons?6. Given the following statistics, what is the probability that a woman has cancer if shehas a positive mammogram result?One percent of women over 50 have breast cancer.• Ninety percent of women who have breast cancer test positive onmammograms.• Eight percent of women will have false positives.7. One of two boxes contains 4 red balls and 2 green balls and the second box contains4 green and two red balls. By design, the probabilities of selecting box 1 or box 2 atrandom are 1/3 for box 1 and 2/3 for box 2. A box is selected at random and a ball isselected at random from it.a. Given that the ball selected is red, what is the probability it was selected fromthe first box?b. Given that the ball selected is red, what is the probability it was selected fromthe second box?c. Compare the results in parts a) and b) and explain the answer.

here as per NOTE given i jave calculated q.7 here define events First box = F second Box =S P(F) =…

7. One of two boxes contains 4 red balls and 2 green balls and the second box contains 4 green and two red balls. By design, the probabilities of selecting box 1 or box 2 at random are 1/3 for box 1 and 2/3 for box 2. A box is selected at random and a ball is selected at random from it. a. Given that the ball selected is red, what is the probability it was selected from the first box? b. Given that the ball selected is red, what is the probability it was selected from the second box? c. Compare the results in parts a) and b) and explain the answer.