Find the probability that a person flipping a coin gets (a) the eighth tail on the tenth flip, and (b) the first tail on the fifth flip. (a) The probability that a person flipping a coin gets the eighth tail on the tenth flip is (Round to four decimal places as needed.) (b) The probability that a person flipping a coin gets the first tail on the fifth flip is (Round to four decimal places as needed.)

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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Solve the following

**Coin Flip Probability Problems**

Finding the probability that a person flipping a coin gets (a) the eighth tail on the tenth flip, and (b) the first tail on the fifth flip.

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### (a) The probability that a person flipping a coin gets the eighth tail on the tenth flip is **[ ]**.
*(Round to four decimal places as needed.)*

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### (b) The probability that a person flipping a coin gets the first tail on the fifth flip is **[ ]**.
*(Round to four decimal places as needed.)*

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(Note: In the provided image, there are two mathematical problems related to calculating probabilities in a sequence of coin flips. Specific details such as step-by-step solutions or visual aids (graphs/diagrams) are not provided in the image, so they are not included in the explanation.)
Transcribed Image Text:**Coin Flip Probability Problems** Finding the probability that a person flipping a coin gets (a) the eighth tail on the tenth flip, and (b) the first tail on the fifth flip. --- ### (a) The probability that a person flipping a coin gets the eighth tail on the tenth flip is **[ ]**. *(Round to four decimal places as needed.)* --- ### (b) The probability that a person flipping a coin gets the first tail on the fifth flip is **[ ]**. *(Round to four decimal places as needed.)* --- (Note: In the provided image, there are two mathematical problems related to calculating probabilities in a sequence of coin flips. Specific details such as step-by-step solutions or visual aids (graphs/diagrams) are not provided in the image, so they are not included in the explanation.)
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