Probability of Cristiano Ronaldo scoring a penalty is twice than the probability of missing it. In a World cup he takes 5 penalties, What is the probability of scoring 3 penalties among the 5?
a) 5 *2 *((2/3)^3 * (1/3)^2)
b) 1-((2/3)^3 * (1/3)^2)
c) 1-((2/3)^2 * (1/3)^3)
d) None of the above.  Choose one
A) 5 *2 *((2/3)^3 * (1/3)^2)
B) 5 *2 *((2/3)^3 * (1/3)^9)
C) 5 *2 *((2/3)^3 * (1/3)^7)
D) 5 *2 *((2/3)^3 * (1/3)^5)
E) 5 *2 *((2/3)^3 * (1/3)^1)
Explanation:   We have to use Binomial distribution to solve this question as Ronaldo scoring penalty and not scoring penalty are Dichotomous in nature.   Success + Failure = 1   2x + x = 1   So x = 1/3   Probability of scoring a penalty = p = 2/3 and Not scoring it = q = 1/3   Probability of scoring exactly 'r' of 'n' trials = P(x=r)=nCr.pr.qn−rP(x=r)=nCr.pr.qn−r   P(x=3)=5C3.(23)3.(13)5−3P(x=3)=5C3.(23)3.(13)5−3   = 10.(23)3.(13)210.(23)3.(13)2   5 *2 *((2/3)^3 * (1/3)^2)nswer:5 *2 *((2/3)^3 * (1/3)^2)
<result>A</result>
Probability of Cristiano Ronaldo scoring a penalty is twice than the probability of missing it. In a World cup he takes 5 penalties, What is the probability of scoring 3 penalties among the 5?
a) 5 *2 *((2/3)^3 * (1/3)^2)
b) 1-((2/3)^3 * (1/3)^2)
c) 1-((2/3)^2 * (1/3)^3)
d) None of the above.