SOLUTION: Suppose that i am not good at shooting the basketball,I can shoot 50% of the time, what is the probability that i will shoot only 3 times out of 10 tries?round answer in 4 decimal

Question 955533: Suppose that i am not good at shooting the basketball,I can shoot 50% of the time, what is the probability that i will shoot only 3 times out of 10 tries?round answer in 4 decimal places. Pls help with little explanation.thanks a lot.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
We use the binomial probability formula
out of 10 tries the probability of success(P) is 5/10 = .5
out of 10 tries the probability of failure(Q) = 1 -.5 = .5
Probability of (3 successes in 10 tries) = (combination of 10 items taken 3 at a time) * P^3 * Q^7 = ( 10! / (3! *(10-3)!) * (.5^3) * (.5^7)
Probability of (3 successes in 10 tries) = 120 * 0.125 * 0.0078125
Probability of (3 successes in 10 tries) = 0.1171875
Therefore,
Probability of (3 successes in 10 tries) = 0.1172

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