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Aron flips a penny 9 times. Which expression represents the probability of getting exactly 3 heads?

Aron flips a penny 9 times. Which expression represents the probability of getting-example-1
Aron flips a penny 9 times. Which expression represents the probability of getting-example-1
Aron flips a penny 9 times. Which expression represents the probability of getting-example-2
Aron flips a penny 9 times. Which expression represents the probability of getting-example-3
Aron flips a penny 9 times. Which expression represents the probability of getting-example-4
Aron flips a penny 9 times. Which expression represents the probability of getting-example-5
User Ze Jibe
by
8.8k points

2 Answers

5 votes
A is the correct answer.
User Stinkycheeseman
by
8.0k points
5 votes

Answer: First Option is correct i.e.
^9C_3(0.5)^3(0.5)^6

Explanation:

Since we have given that

Number of times Aron flips a penny = 9 times

Number of heads getting by him exactly = 3

Probability of getting a head (success) is given by


(1)/(2)

Probability of getting a tail ( failure ) is given by


(1)/(2)

So, We need to find the probability of getting exactly 3 heads:


P(x=3)=^9C_3((1)/(2))^3* (1)/(2)^6\\\\P(x=3)=^9C_3(0.5)^3* (0.5)^6\\\\P(x=3)=(9!)/(3!\tiems 6!)* (0.5)^9\\\\P(x=3)=0.16

Hence, First Option is correct i.e.
^9C_3(0.5)^3(0.5)^6

User Gnreddy
by
7.8k points
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