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Questions and Answers
What is the probability of selecting the event {bw, wb} from the sample space {bb, bw, wb, ww}?
What is the probability of selecting the event {bw, wb} from the sample space {bb, bw, wb, ww}?
What is the probability of obtaining the outcome {bb} from the sample space {rr, ry, rg, yr, yy, yg, gr, gy, gg}?
What is the probability of obtaining the outcome {bb} from the sample space {rr, ry, rg, yr, yy, yg, gr, gy, gg}?
In a scenario where you find out the probability of an event is 0.05, what does this indicate about the likelihood of the event occurring?
In a scenario where you find out the probability of an event is 0.05, what does this indicate about the likelihood of the event occurring?
If a tourist discovers that exactly two out of four local people at a bus stop speak English, how would this reflect in terms of the probability of this exact event occurring?
If a tourist discovers that exactly two out of four local people at a bus stop speak English, how would this reflect in terms of the probability of this exact event occurring?
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What probability corresponds to an event that cannot occur based on given outcomes?
What probability corresponds to an event that cannot occur based on given outcomes?
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Study Notes
Probability Quiz Practice Questions
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Question 1: A coin is flipped twice and the possible outcomes are listed in the set: {bb, bw, wb, ww}.
- Event a: {bw, wb}
- Event b: {bb}
- Calculate the probability of each event assuming each outcome is equally likely.
- Event a probability: 1/2
- Event b probability: 1/4
- Question 2: A bag contains two balls, one black and one white. A ball is drawn at random and its color is noted. Then, a second ball is drawn at random and its color is noted. List the outcomes that comprise each of the following events. - Event a: The second ball drawn is white - Event b: Both balls drawn are black
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Question 3: A die is tossed 3 times.
- Event a: Exactly two of the three tosses are red
- Event b: Exactly one of the three tosses is yellow
- Event c: All three tosses are green
- Calculate the probability of each event assuming each outcome is equally likely.
- Event a probability: 4/9
- Event b probability: 3/9
- Event c probability: 0
- Question 4: A box contains 5 red balls, 3 blue balls, and 2 green balls. Balls are selected at random without replacement. - Event a: The first ball drawn is red - Event b: The first ball drawn is blue - Event c: Both balls drawn are green - Calculate the probability of each event. - Event a probability: 0.25 - Event b probability: 0.25 - Event c probability: 0.05
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Question 5: A fair coin is tossed a certain number of times, the probability of obtaining a head is 0.4. If it is known that the coin is tossed more than 4 times, what is the probability of getting exactly 4 heads?
- Answer: 47%
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Question 6: A tourist sees four local people standing at a bus stop.
- The problem asks for the probability that exactly two of them will be able to speak English.
- However, the provided text does not give enough information to solve this problem.
- To accurately calculate the probability, we'd need to know the overall likelihood of a local person being able to speak English.
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Description
Test your understanding of probability with this comprehensive quiz. From coin flips to die tosses, tackle various scenarios and calculate the probabilities of different events. Perfect for students looking to solidify their grasp on probability concepts.
