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I flip a coin two times. What is the sample space?

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Presentation on theme: "I flip a coin two times. What is the sample space?"— Presentation transcript:

1 I flip a coin two times. What is the sample space?
{H,T} {HH, HT, TT} {HH, HT, TH,TT} It depends on how the coin lands

2 The statistics of a particular basketball player state that he makes 4 out of 5 free-throw attempts.   The basketball player is just about to attempt a free throw. What do you estimate the probability that the player makes this next free throw to be?   0.16 50-50. 0.80 1.2

3 Suppose you toss a thumbtack 60 times and it lands point up on 35 of the tosses. The approximate probability of landing point up is: 35. 0.35. 0.58.

4 Two coins are tossed and the total number of heads is counted
Two coins are tossed and the total number of heads is counted. Which of the following would be a legitimate probability model for the total number of heads? That is, which of the following models satisfies the rules of probability? Number of heads 1 2 Probability Number of heads 1 2 Probability Number of heads 1 2 Probability Top Middle Bottom

5 disjoint. complements. independent.
Suppose we toss a penny and a nickel. Let A be the event that the penny is a head and B be the event that the nickel is a tail. The events A and B are: disjoint. complements. independent.

6 Suppose that I roll two fair dice (one is red and one is green)
Suppose that I roll two fair dice (one is red and one is green). If I want to figure out the probability of getting a sum of 7 or 11, I should: Add P(sum=7) to P(sum=11) Multiply P(sum=7) to P(sum=11) Both Neither

7 Suppose that I roll two fair dice (one is red and one is green)
Suppose that I roll two fair dice (one is red and one is green). If I want to figure out the probability of getting a 3 on the red die and a 5 on the green die, I should: Add P(red=3) to P(green=5) Multiply P(red=3) to P(green=5) Both Neither

8 Suppose X is a continuous random variable taking values between 0 and 1 and having a probability distribution described by the following density curve. The probability that X takes a value between 0 and 3/4 is: 0.875. 0.75. 3/8.

9 An event A occurs with probability 0. 3
An event A occurs with probability 0.3. Event B occurs with probability If A and B are disjoint, then P(A or B) = 0.80. 0.15. 0.65.

10 An event A occurs with probability 0. 3
An event A occurs with probability 0.3. Event B occurs with probability If A and B are disjoint, then P(A and B) = 0.80. 0.15. 0.65.

11 Answers C, C, C, B, C, A, B, A, B, A (disjoint means it is impossible for both of them to happen)


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