Vineetha and Reshma are competing for the post of school leader. The probability Vineetha to be elected is 0.6 and that of Reshma is 0.4 Futher if Vineetha is elected the probability of introducing a new pattern of election is 0.7 and the corresponding probability is 0.3 , if reshma is elected. Find the probability that the new pattern of election is introduced by Reshma ?

Two groups are competing for the position on the Board of directors of a Corpoation.The probabilities that the first and the second groups wil win are 0.6 and 0.4 respectively. Further, if the first group wins,the probability of introducing a new product is 0.7 and the corresponding probability is 0.3 if the second group wins. Find the probability that the new product introducted was by the second group.

IF 4 digit numbers greater than or equal to 5000 are randomly formed from the digits 0,1,3,5 and 7 what is the probability of forming a number divisible by 5 when the repetition of digit is allowed?

IF 4 digit numbers greater than or equal to 5000 are randomly formed from the digits 0,1,3,5 and 7 what is the probability of forming a number divisible by 5 when the repetition of digit is not allowed?

A random variable X has the following probability distribution : {:(X:,1,2,3,4,5,6,7,8),(P(X):,0.15,0.23,0.12,0.10,0.20,0.08,0.07,0.08):} for the events E=[X is a prime number] F={X lt 4}, the probability P(EUF) is a)0.87 b)0.77 c)0.35 d)0.5