SOLUTION: A die is thrown four times. Determine the probability of throwing the following. (c) two 3's (Round your answer to four decimal places. (d) three 3's (Round your answer

 

Hi,

Binomial Distribution Probability

Note: The probability of x successes in n trials is: 

P = nCx*  where p and q are the probabilities of success and failure respectively. 

In this case p = 1/6. q = 5/6 and n = 4  nCx = 



A die is thrown four times. Determine the probability of throwing the following.

 (c) two 3's (Round your answer to four decimal places.) = .1157

 P(x = 2) = 4C2((1/6)^2(5/6)^2 

 (d) three 3's (Round your answer to four decimal places.) = .0154

 P(x = 3) = 4C3((1/6)^3(5/6)^1

 (e) four 3's (Round your answer to five decimal places.)= .00077