A die is thrown 5 times. If getting an even number is a success, what is the probability of 3 successes ?

Explanation

P=p(even number)`=3/6=1/2` q=p(non even number)`=1/2` `therefore`P(success)=`p=1/2`,p(failure)=`q=1/2` p(3 success in 5 throws)`=^5C_3p^3q^3=10.(1/2)^5=10/32=5/16`