Exam 11: Probability

Event 1C Given the following event: Suppose an irregular 5-sided solid object, having sides numbered 1 through 5, is rolled 100 times, and side 3 turns up 16 times. -In regard to Event 1C, what are the odds?

To compute the probability of drawing two aces from a poker deck (without replacing the first card before drawing the second) the theory of probability that would normally be used is the:

According to the principle of indifference,

Given an urn containing 4 red balls, 2 blue balls, and 3 yellow balls. What is the probability of drawing either a red ball or a blue ball on a single draw?

Event 1B Given the following event: Suppose an irregular 7-sided solid object, having sides numbered 1 through 7, is rolled 100 times, and side 4 turns up 12 times. -What is the approximate probability of Event 1B happening?

To compute the probability that a mass produced rocket engine would fail prematurely, the theory of probability that would likely be used is the:

Given an urn containing 3 red balls and 4 white balls. If two balls are drawn and the first ball is not replaced before the second is drawn, what is the probability that both balls are red?

Event 2B Given the following event: Given an urn containing 2 green, 3 white, and 4 red balls. Two balls are drawn and the first ball is not replaced before the second is drawn. -Given Event 2B, what is the probability that the two balls are the same color?

What is the probability of getting at least 1 head on 3 successive tosses of a coin?

Event 2C Given the following event: Given two urns, one containing 3 white, 4 blue, and 5 pink balls, and the other containing 2 white, 3 blue, and 7 pink balls. A single ball is drawn from each. -Given Event 2C, what is the probability that at least one ball is blue?

What is the probability of getting at least 1 head on 4 successive tosses of a coin?

To compute the probability of one team winning against another in a sporting event, the theory of probability that would normally be used is the:

Event 1A Given the following event: Suppose an irregular 4-sided solid object, having sides numbered 1 through 4, is rolled 100 times, and side 3 turns up 28 times. -In regard to Event 1A , what are the odds?

Given an urn containing 2 pink balls, 3 green balls, and 5 yellow balls. What is the probability of drawing either a green ball or a yellow ball on a single draw?

Event 3A Given the following event: Given two urns, one containing 2 green, 3 yellow, and 5 pink balls, and the other containing 4 green, 2 yellow, and 4 pink balls. A single ball is drawn from each. -Given Event 3A, what is the probability that one is green, the other is pink?

Event 2A Given the following event: Given an urn containing 2 black, 3 yellow, and 5 orange balls. Two balls are drawn and the first ball is not replaced before the second is drawn. -Given Event 2A, what is the probability that the first ball is orange and the second is yellow?

To compute the probability of having a fair coin turn up heads four times on four tosses, the theory of probability that would normally be used is the:

Event 3A Given the following event: Given two urns, one containing 2 green, 3 yellow, and 5 pink balls, and the other containing 4 green, 2 yellow, and 4 pink balls. A single ball is drawn from each. -Given Event 3A, what is the probability that at least one is either green or yellow?

Event 1C Given the following event: Suppose an irregular 5-sided solid object, having sides numbered 1 through 5, is rolled 100 times, and side 3 turns up 16 times. -What is the approximate probability of Event 1C happening?

On one roll of a pair of dice, what is the probability of the points adding up to 4?