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Two cards will be selected without replacement from a standard deck Question 1 of 52 cards. Find the probability of the following events and enter your answers as fractions. Question 2 Question 3 Question 4 Question 5 Summary 1. Both cards are aces. P(both cards are aces) = 2. Both cards are face cards. P(both cards are face cards) = 3. The first card is a five and the second card is a jack. P(5, Jack) =Dionigia buys a bag of cookies that contains 4 chocolate chip cookies, Question 1 8 peanut butter cookies, 9 sugar cookies, and 8 oatmeal cookies. What is the probability that Dionigia randomly selects a peanut butter Question 2 cookie from the bag, eats it, then randomly selects a chocolate chip Question 3 cookie? Express your answer as a fraction. Question 4 P(a peanut butter, a chocolate chip) Question 5 Summary The 3rd grade students at Vinland Elementary were asked which flavor of ice cream they preferred. Their responses were tallied in the table Question 1 below. Question 2 Question 3 Chocolate Vanilla Strawberry Question 4 Male 15 17 14 Question 5 Summary Female 13 18 8 1. If one student is chosen at random, find the probability that the student was male AND prefers chocolate. Enter your answer as a fraction. P(male AND prefers chocolate) = 2. If one student is chosen at random, find the probability that the student was male OR prefers vanilla. P(male OR prefers vanilla) =A fair coin is flipped 15 times. Question 1 1. What is the probability that the result is heads for all 15 flips? Leave your answer in exact form Question 2 (i.e., don't round). Question 3 P(15 heads) = Question 4 Question 5 2. What is the probability that the result is 9 heads followed by 6 tails? Leave your answer in Summary exact form (i.e., don't round). P(9 heads followed by 6 tails) = 3. What is the probability that exactly one of the flips will result in heads? Leave your answer in exact form (i.e., don't round). P(exactly 1 heads) =The two spinners below are spun and the product of the resulting numbers is recorded. What is the sample space for this experiment? Enter your answer as a list separated by commas. The sample space is