In: Statistics and Probability
A national survey of heads of households showed the percentage of those who asked for a raise and the percentage who got one. According to the survey, of the women interviewed, 26% had asked for a raise, and of those women who had asked for a raise, 45% received the raise. Suppose a woman is randomly selected, then:
(a) Find P (woman did not ask for a raise).
(b) Find P (woman asked for raise and received raise).
You are playing a game where you flip a coin, roll a six-sided die, and then draw a ball out of a bag. In the bag, there are 5 balls—3 red and 2 blue. You record your results.
(a) Make a tree diagram showing all the possible outcomes. (b) How many outcomes are possible?
(c) What is the probability of flipping a tail, rolling a 3, and
drawing a blue ball?
(d) What is the probability of flipping a tail, rolling an even,
and drawing a blue ball?
Ans (1) Let A and R denote the event that a randomly selected women asked for raise and received raise respectively