3rd Quarter Exam 2021

Consider the box that contains 10 red balls, 5 blue balls, and 5 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 yellow and the second is blue.

• 1/16

• 1/8

• 1/4

• 1/2

Consider the box that contains 10 red balls, 5 blue balls, and 5 yellow balls. Suppose that two balls are drawn one after the other without putting back the first ball. Find the probability that the first is yellow and the second is blue.

• 1/16

• 25/361

• 5/76

• 5/38

1. Consider the box that contains 10 red balls, 5 blue balls, and 5 yellow balls. Suppose that two balls are drawn one after the other without putting back the first ball. Find the probability that the first is blue and the second is red.

• 1/16

• 5/76

• 25/361

• 5/38

1. At a basketball game, 80% of the fans cheered for team A. In the same crowd. 20% of the fans were waving banners and cheering for team A. What is the probability that a fan waved a banner given that the fan cheered for team A?

• 20%

• 25%

• 125%

• 400%

1. _________ are events in which the probability of any one event occurring is unaffected by the occurrence or non-occurrence of any of the other events.

• Simple events

• Compound events

• Dependent Events

• Independent Events

1. A bag of jelly beans contains 10 red, 6 green, 7 yellow and 5 orange jelly beans. What is the probability of randomly choosing a red jelly bean, replacing it, randomly choosing another red jelly bean, replacing it, and then randomly choosing an orange jelly bean?

• 125/5488

• 25/1092

• 25/5488

• 1/215

1. The probability of heads landing up when you flip a coin is ½. What is the probability of getting tails if you flip it again?

• 1/4

• 1/3

• 1/2

• 3/4

1. Suppose you roll a red die and a green die. The probability that the sum of the numbers on the dice is equal to 9 is 4/36 since there are 4 of the 36 outcomes where the sum is 9. What if you see that the red die shows the number 5, but you still have not seen the green die? What then are the chances that the sum is 9?

• 1/6

• 1/4

• 1/3

• 2/3

If a coin is tossed 3 times, what is the probability that all three tosses come up heads given that at least two of the tosses come up heads?

• 1/6

• 1/4

• 1/3

• 3/8

Among a large group of patients recovering from shoulder injuries, it was found that 22% visit both a physical therapist and a chiropractor, whereas 12% visit neither of these. The probability that a patient visits a chiropractor exceeds by 0.14 than the probability that a patient visits a physical therapist. Determine the probability that a randomly chosen member of this group visits a physical therapist.

• .26

• .38

• .40

• .48