The accompanying table shows the results of a surveyr in which 250 male and 250 female workers ages 25 to 54 were asked it they contribute to a retirement savings plan at work. Complete parts (a) and (b) below. a Click the icon to view the survey results. E) (a) Find the probability that a randomly selected worker contributes to a retirement savings plan at work, given that the worker is male. The probability that a randomly selected worker contributes to a retirement savings plan at work, given that the worker is male, is D. (Round to three decimal places as needed.) (b) Find the probability that a randomly selected worker is female, given that the worker contributes to a retirement savings plan at work. The probability that a randomly selected worker is female, given that the worker contributes to a retirement savings plan at work, is D. (Round to three decimal places as needed.) Survey results Contribute [10 not conuibute 111 139 1 50 Si] 2?1 229 23 The probability that an event will happen is P(B) = 31 Find the probability that the event will not happen. The probability that the event will not happen is (Type an integer or a simplified fraction.)A probability experiment consists of rolling a Bsided die. Find the probability ofthe event below. rolling a number less than 4 The probability is 0.500 . {Type an integer or decimal rounded to three decimal places as needed} A standard deck of cards contains 52 cards. One card is selected from the deck. (a) Compute the probability of randomly selecting a diamond or spade. (b) Compute the probability of randomly selecting a diamond or spade or heart. (c) Compute the probability of randomly selecting a four or heart. a. P(diamond or spade) = (Round to three decimal places as needed.) b. P(diamond or spade or heart) = Round to three decimal places as needed.) c. P(four or heart) = (Round to three decimal places as needed.)A physics class has 50 students. Of these, 12 students are physics majors and 13 students are female. Of the physics majors, two are female. Find the probability that a randomly selected student is female or a physics major. The probability that a randomly selected student is female or a physics major is 0.46 (Round to three decimal places as needed.)