Section 8.1 12/5/2018 Assignment: Section 8.1 Homework Date: 12/05/18 1. Without using a calculator, determine which event, E or F, is more likely to occur. 2 4 P(E)= --; P(F)=Select the correct answer below. 0 A. Event E has the higher probability. Therefore, it is more likely to occur. (I B. Events E and F have equal probabilities. Therefore, the two events are equally likely to occur. 0 C. Event F has the higher probability. Therefore, it is more likely to occur. C: D. There is not enough information given. 2. A circular spinner is divided into 13 sectors of equal area: 5 red sectors, 3 blue, 4 yellow, and 1 green. Consider the experiment of spinning the spinner once. Find the probability that the spinner lands on blue. that the spinner will land on a blue sector. There is a probability of (Type an integer or a simplified fraction.) 3. A cooler at a picnic contains 100 cans of soda covered by ice. There are 32 cans of cola, 28 cans of orange soda, 30 cans of ginger ale, and 10 cans of root beer. The cans are all the same size and shape. If one can is selected at random from the cooler, determine the probability that the soda selected is orange soda, ginger ale, or root beer. The probability that the can selected is a orange soda, ginger ale, or root beer is (Simplify your answer. Type a fraction.) 4. An experiment consists of drawing 1 card from a standard 52-card deck. What is the probability of drawing a queen? The probability of drawing a queen is (Type an integer or a simplified fraction.) - 5. An experiment consists of drawing 1 card from a standard 52-card deck. What is the probability of drawing the jack of hearts? The probability of drawing the jack of hearts is (Type an integer or a simplified fraction.) 6. A card is drawn from a well-shuffled deck of 52 cards. Find the probability that the card is a red card or a 10. The probability is (Type an integer or a simplified fraction.) 7. A standard 52-card deck has four 13-card suits: diamonds, hearts, clubs, and spades. The diamonds and hearts are red, and the clubs and spades are black. Each 13-card suit contains cards numbered from 2 to 10, a jack, a queen, a king, and an ace. An experiment consists of drawing 1 card from the standard deck. Find the probability of drawing a red ace of clubs. The probability of choosing a red ace of clubs is (Type an integer or a simplified fraction.) https://xlitemprod.pearsoncmg.com/api/vl/print/nlath 1/3 Section 8.1 12/5/2018 8. In a family with 3 children, excluding multiple births, what is the probability of having 3 girls? Assume that a girl is as likely as a boy at each birth. The probability of having 3 girls is . (Type a fraction. Simplify your answer.) 9. A store carries four brands of CD players, J, G, P, and S. From past records, the manager found that the relative frequency of brand choice among customers varied. Which of the following probability assignments for a particular customer choosing a particular brand of CD player would have to be rejected? Why? (A) P(J)= 0.05, P(G)= 0.32, P(P)= 0.37, P(S)= 0.26 (B) P(J) = 0. 14, P(G) = 0.66, P(P) = 0. 17, P(S)= 0.65 (C) P(J) = 0.21, P(G) = —0.24, P(P) = 0.44, P(S) = 0.59 Should probability assignment (A) be rejected? Why or why not? iT A. Yes, because the sum of all the events is not 1. C) B. Yes, because one of the probabilities is negative. C: C. Yes, because each probability is between 0 and I (inclusive), and the sum of the probabilities is 1. (T D. No, because each probability is between 0 and 1 (inclusive), and the sum of the probabilites is 1.