Experiment #1: Flipping a Coin. Assume heads and tails are equally likely to occur. 1. What is the sample space for this experiment? How many possible outcomes? 2. For each of the following, compute p(E), the probability of event E occurring when a coin is flipped 3 times. (a) p(0 heads) (b) p(1 heads) (c) p(at least 1 heads) (c) p(7 heads) (d) p(at least one heads) (e) p(equal #heads and tails) (f) * p(first heads appears on flip 4) (d) p(at least 2 heads) 3. Consider the experiment where a coin is flipped 10 times in a row. Answer the following. (a) How many possible outcomes are there in this experiment? (b) How many outcomes contain exactly 0 heads? 1 heads? 2 heads? 3 heads? k heads? (g) What is the probability either the first 3 flips or the last 3 flips are heads? (h) What does the previous problem suggest about p(EUF) for events E and F?
Experiment #1: Flipping a Coin. Assume heads and tails are equally likely to occur. 1. What is the sample space for this experiment? How many possible outcomes? 2. For each of the following, compute p(E), the probability of event E occurring when a coin is flipped 3 times. (a) p(0 heads) (b) p(1 heads) (c) p(at least 1 heads) (c) p(7 heads) (d) p(at least one heads) (e) p(equal #heads and tails) (f) * p(first heads appears on flip 4) (d) p(at least 2 heads) 3. Consider the experiment where a coin is flipped 10 times in a row. Answer the following. (a) How many possible outcomes are there in this experiment? (b) How many outcomes contain exactly 0 heads? 1 heads? 2 heads? 3 heads? k heads? (g) What is the probability either the first 3 flips or the last 3 flips are heads? (h) What does the previous problem suggest about p(EUF) for events E and F?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:Experiment #1: Flipping a Coin. Assume heads and tails are equally likely to occur.
1. What is the sample space for this experiment? How many possible outcomes?
2. For each of the following, compute p(E), the probability of event E occurring when a coin
is flipped 3 times.
(a) p(0 heads)
(b) p(1 heads)
(c) p(at least 1 heads)
(d) p(at least 2 heads)
3. Consider the experiment where a coin is flipped 10 times in a row. Answer the following.
(a) How many possible outcomes are there in this experiment?
(b) How many outcomes contain exactly 0 heads? 1 heads? 2 heads? 3 heads? k heads?
(c) p(7 heads)
(d) p(at least one heads)
(e) p(equal #heads and tails)
(f) * p(first heads appears on flip 4)
(g) What is the probability either the first 3 flips or the last 3 flips are heads?
(h) What does the previous problem suggest about p(EUF) for events E and F?
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