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Yanka [14]
2 years ago
14

A fair coin is flipped 10 times. What is the probability that exactly 4 of the 10 flips come up heads

Mathematics
2 answers:
Sever21 [200]2 years ago
8 0

Answer:

P = 0.205  (20.5%)

Step-by-step explanation:

f(x)=(10nCr4)(.5)^{4} (.5)^{6} =(210)(0.0625)(0.015625)=0.205

Hope this helps

kifflom [539]2 years ago
5 0

105/2^9

Step-by-step explanation:

The probability of getting a head in a single toss

p=12

The probability of not getting a head in a single toss

q=1−12=12

Now, using Binomial theorem of probability,

The probability of getting exactly r=4 heads in total n=10 tosses

=10C4(1/2)4(1/2)10−4

=10×9×8×7/4! 1/2^4 1/2^6

=2^44⋅9⋅35/24(2^10)

=105/2^9

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