consider 10 tosses of a fair coin. What is the probability that the FIRST TWO are heads?
consider 10 tosses of a fair coin. What is the probability that the FIRST TWO are heads?
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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consider 10 tosses of a fair coin. What is the
Expert Solution
Step 1
Given problem uses the binomial distribution.
Let ,
X : number of heads in 10 tosses.
The probability of getting a head in a single toss
p=1/2
The probability of not getting a head in a single toss
q=1−1/2=1/2
Now, using Binomial theorem of probability,
The probability of getting exactly r=2 heads in total n=10 tosses
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