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Consider the experiment of tossing a coin 3 times. Find the probability of flipping exactly 2 tails. Hint: list the outcomes 1 O b 8.

Consider the experiment of tossing a coin 3 times. Find the probability of flipping exactly 2 tails. Hint: list the outcomes 1 O b 8.

A First Course in Probability (10th Edition)
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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**Problem Statement:** Consider the experiment of tossing a coin 3 times. Find the probability of flipping exactly 2 tails. **Hint:** List the outcomes. **Options:** - a) \(\frac{1}{8}\) - b) \(\frac{3}{8}\) - c) \(\frac{1}{2}\) - d) \(\frac{7}{8}\) To solve this problem, you need to consider all possible outcomes of tossing a coin three times. The possible outcomes are: - HHH - HHT - HTH - HTT - THH - THT - TTH - TTT Each sequence represents an outcome where H stands for heads and T stands for tails. Out of these outcomes, the combinations where exactly two tails appear are: HTT, THT, and TTH. There are 3 favorable outcomes out of 8 total possibilities, giving a probability of \(\frac{3}{8}\). Therefore, the correct answer is b) \(\frac{3}{8}\).
Transcribed Image Text:**Problem Statement:** Consider the experiment of tossing a coin 3 times. Find the probability of flipping exactly 2 tails. **Hint:** List the outcomes. **Options:** - a) \(\frac{1}{8}\) - b) \(\frac{3}{8}\) - c) \(\frac{1}{2}\) - d) \(\frac{7}{8}\) To solve this problem, you need to consider all possible outcomes of tossing a coin three times. The possible outcomes are: - HHH - HHT - HTH - HTT - THH - THT - TTH - TTT Each sequence represents an outcome where H stands for heads and T stands for tails. Out of these outcomes, the combinations where exactly two tails appear are: HTT, THT, and TTH. There are 3 favorable outcomes out of 8 total possibilities, giving a probability of \(\frac{3}{8}\). Therefore, the correct answer is b) \(\frac{3}{8}\).
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