1a. A card is drawn from a standard deck of 52 playing cards. Find the probabili

Question

1a. A card is drawn from a standard deck of 52 playing cards. Find the probability that the card is an ace or a king. 2a. A card is drawn from a standard deck of 52 playing cards. Find the probability that the card is a queen or a club. Express the probability as a simplified fraction 3a. A probability experiment is conducted in which the sample space of the experiment is B={10, 11, 12). Assume that s-{1,2,34, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14.15). Let event A={4, 5,6,7} and each outcome is equally likely. List the outcomes in A and B. Are A and B mutually exclusive? event 4a. Given that P(A or B)PA)and P(A and B-find P(B). Express the probability as a simplified fraction. 5a. A die is rolled. The set of equally likely outcomes is (1,2,3,4,5, 6). Find the probability of getting a 2 6a. In the game of roulette in the United States a wheel has 38 slots: 18 slots are black, 18 slots are red, and 18 P(Red) = -047 38 2 slots are green. The 7a. The events A and B are mutually exclusive. If P(A) = 0.3 and P(B) = 0.5, what is P(A or B)? 8a The table below represents a random sample of the number of deaths per 100 cases for a certain illness over time. If a person infected with this illness is randomly selected from all infected people, find the probability that the person lives 3-4 years after diagnosis. Express your answer as a simplified fraction and as a decimal. This is an example of what type of probability? umber deaths 15 35 16 Years after Di 3-4 5-6 7-8 9-10 11-12 13-14 15+ 13

Explanation / Answer

4)
P(A or B)= 1/4 , P(A)= 1/5 ,P(A and B) = 1/8

P(A or B) = P(A) + P(B) - P(A and B)
1/4 = 1/5 + P (B) - 1/8
P(B)= 7/40
5)

Probability of gertting a 2 = 2/6 = 0.3333
7)

P(A) = 0.3 , P(B) = 0.5
P(A or B) = P(A) + P(B)

= 0.3 + 0.5 = 0.8

8)

Sum of all number deaths = 100
P(person lives in 3-4) = 35 / 100

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