Each person in a class of 15 students was asked to secretly write down their choice of a card from a standard deck. What is the probability that the Ace of Hearts was written down by 4 students? O O 12 13 13 O 13 x 15 O 15A spinner has equal sectors. Three sectors are blue, two are red and four are green. Which is the correct probability distribution? O blue = 3 ; red = , ; green = 4 24 24 24 O blue = 3; red = 2; green = O blue = 3 ; red = 2 ; green = 4 10 10 10 O blue = 1 ; red = 1; green = NIA lottery ticket costs $5.00. There are 1 000 000 tickets in the draw. The prizes and the number of tickets that will receive each prize are listed below. What is the expected value of each ticket? **hint: Find x*P(x). Prize ($) Number of Tickets 1 000 000 50 000 5 1 000 20 50 10 000 O $1 770 000 -$3.23 O $1 769 995 O $1.77The student council is selecting six teachers to judge a talent contest. There are eight men and nine women available to be chosen. What is the probability that three men and three women are selected? O 8 63 X 9 C3 176 O 6 O 13 x 3Which of these random variables has a hypergeometric distribution? O the number of diamonds dealt from a deck of cards O the number of Os produced by a random-number generator O the number of attempts before rolling a 3 with a die O the number of defective products in a random sample of 20 taken from a production line that has a 3% defect rateA bag contains 8 red, 7 green, 5 black and 10 yellow jelly beans. Six jelly beans are selected at random without replacement. Identify the type of distribution this situation implies. O uniform O binomial O all of the above hypergeometric