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13.4 Probabilities of Compound Events Find the probability of independent and dependent events. Identify mutually exclusive events. Find the probability of mutually exclusive and inclusive events.
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1)When three dice are rolled, what is the probability that the first two show a 5 and the third shows an even number? 2)At a picnic, Julio reaches into an ice-filled cooler containing 8 regular soft drinks and 5 diet soft drinks. He removes a can, then decides he is not really thirsty, and puts it back. What is the probability that Julio and the next person to reach into the cooler both randomly select a regular soft drink? 3)Three cards are drawn from a standard deck of cards without replacement. Find the probability of drawing a diamond, a club, and another diamond in that order.
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1.The host of a game show is drawing chips from a bag to determine the prizes for which contestants will play. Of the 10 chips in the bag, 6 show television, 3 show vacation, and 1 shows car. If the host draws the chips at random and does not replace them, a)Find the probability that he draws a vacation, then a car. b)Find the probability that the host draws two televisions. 2.In a state lottery game, each of three cages contains 10 balls. The balls are each labeled with one of the digits 0-9. What is the probability that the first two balls drawn will be even and that the third will be prime?
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1)Keisha has a stack of 8 baseball cards, 5 basketball cards, and 6 soccer cards. If she selects a card at random from the stack, what is the probability that it is a baseball or a soccer card? 2)The Cougar basketball team can send 5 players to a basketball clinic. Six guards and 5 forwards would like to attend the clinic. If the players are selected at random, what is the probability that at least 3 of the players selected to attend the clinic will be forwards?
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1)Suppose that of 1400 students, 550 take Spanish, 700 take biology, and 400 take both Spanish and biology. What is the probability that a student selected at random takes Spanish or biology? 2)Sylvia has a stack of playing cards consisting of 10 hearts, 8 spades, and 7 clubs. If she selects a card at random from this stack, what is the probability that it is a heart or a club?
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1) In a bingo game, balls numbered 1 to 75 are placed in a bin. Balls are randomly drawn and not replaced. Find each probability for the first 5 balls drawn. a)P(selecting 5 even numbers) b)P(selecting 5 two digit numbers) c)P(5 odd numbers or 5 multiplies of 4) d)P(5 even numbers or 5 numbers less than 30)
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