1) Which is not independent? a) Two dice are rolled sequentially. What is the probability that the first die shows six and the other die shows odd numbers? b) A bottle contains 20 blue bags and 15 red bags if two bags are picked at random one after the other with replacement, what is the probability that the first bag is blue and then red? c) If you flip a coin and roll a die. What is the probability that you will flip a head and roll a 5? d) A toy box contains 12 toys, 8 stuffed animals, and 3 board games. Maria randomly chooses 2 toys for the child she is babysitting to play with. What is the probability that she chose 2 stuffed animals as the first two choices? 2) In a standard deck of card, what is the probability of getting faced card, pick another card of number 3? a) Dependent Event b) Independent Event 3) Allan went to gadget center, there are 7 Iphone, 8 Samsung, and 6 Vivo phones. If Allan wants to buy 2 phones what is the probability of buying an iPhone and then Samsung? a) 1/3 x 2/5=1/10 b) 1/3 x 1/20=1/60 c) 2/15 d) 1/20 4) It is an event where the first event has no influence to the second event a) Dependent event b) Independent 5) Two events are independent if the occurrence of one of the events gives us no information about whether or not the other event will occur; that is, the events have no influence on each other. a) 𝑃(𝐴 and 𝐵) = 𝑃(𝐴) x 𝑃(𝐵) b) P(A and B) = P(A) • P(B following A) 6) Consider a box that contains 8 black balls, 4 red balls, and 4 pink balls. What is the probability of randomly picking a black ball, put back inside, and a red ball? a) 2/16 b) 1/8 c) 1/4 d) 2/4 7) A deck of cards is placed on the table. What is the probability of getting a letter card, putting the card back, and picking another number card? a) 16/52 x 36/52 b) 12/52 x 36/51 c) 4/13 x 9/13 d) 3/13 x 36/51 8) Consider a box that contains 14 red balls, 12 blue balls, and 9 yellow balls. A ball is drawn at random and the color is noted and then put back inside the box. Then, another ball is drawn at random. Find the probability that both blue a) 12/35 x 12/35 b) 14/35 x 9/35 c) 14/35 x 12/34 d) 9/35 x 8/34 9) Consider a box that contains 14 red balls, 12 blue balls, and 9 yellow balls. A ball is drawn at random and the color is noted and then put back inside the box. Then, another ball is drawn at random. Find the probability that the first is red and the second is yellow. a) 12/35 x 12/35 b) 14/35 x 9/35 c) 14/35 x 12/34 d) 9/35 x 8/34 10) Consider a box that contains 14 red balls, 12 blue balls, and 9 yellow balls. supposed that two balls are drawn one after the other without putting back the first ball. Find the probability that the first is red and the second is blue. a) 12/35 x 12/35 b) 14/35 x 9/35 c) 14/35 x 12/34 d) 9/35 x 8/34 11) Consider a box that contains 14 red balls, 12 blue balls, and 9 yellow balls. supposed that two balls are drawn one after the other without putting back the first ball. Find the probability that both balls are yellow.. a) 12/35 x 12/35 b) 14/35 x 9/35 c) 14/35 x 12/34 d) 9/35 x 8/34 12) When the outcome of one event affects the outcome of another event, they are dependent events a) 𝑃(𝐴 and 𝐵) = 𝑃(𝐴) x 𝑃(𝐵) b) P(A and B) = P(A) • P(B following A) 13) A box of chocolates contains two milk chocolates, five dark chocolates and three white chocolates. You randomly select and eat white chocolates. Find the probability that you select white chocolates, another white chocolates and then dark chocolates. a) Independent event b) Dependent event 14) A Freezer contains 8 Vanilla ice cream, 6 chocolate ice cream, and 7 ube ice cream what is the probability of getting vanilla ice cream, eats it, and another ube ice cream? a) Dependent events b) Independent Events 15) In a volleyball try out, there are 6 wing spikers, 4 middle hitters, and 5 opposite hitters. what is the probability of selecting an opposite hitter and wing spiker? a) 5/15 x 6/14 b) 5/15 x 6/15 c) 1/3 x 2/5 d) 1/3 x 3/7

independent and Dependent events

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