1) Brian likes to wear colored shirts. He has 10 shirts in the closet. Three of these are blue, four are in different shades of red, and the rest are of mixed of different colors. What is the probability that he will wear a blue or a red shirt? a) 7/10+4/10 b) 3/10+4/10 c) 3/10+7/10 d) 7/10-4/10 2) Rhian has four cans of juice – one can of orange, one of pineapple, one of calamansi, and one of guyabano. She chooses three of these cans to take to school. If she chooses calamansi, what is the probability that she also chooses pineapple? a) 7/8 b) 3/4 c) 2/3 d) 3/8 3) A baby has 5 blocks in a box. One block is red, one is yellow, one is green, one is blue, and one is black. The baby pulls out a block, looks at it, and puts it back in the box. If he does this 4 times before he gets bored and crawls away, what is the probability that the 4 blocks selected are all of the same color? a) 5/5^4 b) 1/5^4 c) . 4/5^4 d) 2/5^4 4) A box contains 4red balls and 6 blue balls. A second box contains 16 red balls and an unknown number of blue balls. A single ball is drawn from each box. The probability that both balls are blue are of the same color is 0.44. How many blue balls are there in the second box? a) 4 b) 20 c) 24 d) 44 5) A nationwide survey revealed that 42% of the population likes eating pizza. If two people are randomly selected from the population, what is the probability that the first person likes eating pizza while the second one does not? a) 0.42 + (1-0.42) b) 2(1-0.42) c) 1 – 0.42 d) 0.42 (1-0.42) 6) A married couple agreed to continue bearing a new child until they get two boys, but not more than 4 children. Assuming that each time that a child is born, the probability that it is a boy is 0.5, independent from all other times. Find the probability that the couple has at least two girls. a) ½ b) 5/16 c) 5/8 d) 4/15 7) The probability that a visit to the school clinic is neither due to dental reasons nor medical reasons is 35%. Of those coming to the clinic, 30% are due to medica reasons and 40% are due to dental reasons. What is the probability that a visit to the clinic is due to both dental and medical reasons? a) 0.05 b) 0.12 c) 0.18 d) 0.25 8) A public health researcher examines the medical records of a group of 937 men who died in 1999 and discovers that 210 of the men died from causes related to heart disease. Moreover, 312 of the 937 men had at least one percent who suffered from heart disease, and of these 312 men, 102 died from causes related to heart disease. Determine the probability that a man randomly selected from this group died of causes related to heart disease, given that neither of his parents suffered from heart disease. a) 102/605 b) 108/625 c) 312/625 d) 414/626 9) There are four batteries, and one of them is defective. Two are to be selected at random for use on a particular day. Find the probability that the second battery selected is not defective, given the first was not defective. a) 2/3 b) ¼ c) ⅓ d) ½ 10) An insurance agent offers a health plan to the employees of a large company. As part of this plan, the individual employees may choose exactly two of the supplementary coverages A, B, and C, or they may choose no supplementary coverage. The proportions of the company’s employees that choose coverages A, B, and C are ¼, ⅓, and 5/12, respectively. Determine the probability that a randomly chosen employee will choose no supplementary coverage. a) 7/9 b) ½ c) 47/144 d) 9/144 11) The spinner is spun. What is the probability of a spin that results in an even number or a number less than 4? a) ¼ b) 1/2 c) 3/4 d) 5/8

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