Home
Class 12
MATHS
Two groups are competing for the positio...

Two groups are competing for the position on the Board of Directors of a corporation. The probabilities that the first and the second groups will 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 in `0.3` if the second group wins. Find the probability that the new product was introduced by the second group,

Text Solution

Verified by Experts

The correct Answer is:
`(2)/(9)`
Promotional Banner

Similar Questions

Explore conceptually related problems

Two groups are competing for the positions of the board of directors of a corporation. The probabilities that the first and the second groups will 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 is introduced was by the second group.

Two sets of candidates are competing for the position on the board of directors of a company. The probabilities that the first and second sets will win are 0.6 and 0.4 respectively. If the first set wins, the probability of introducing a new product is 0.8 and the corresponding probability if the second set wins is 0.3. What is the probability that the new product will be introduced ?

A machine operates only when all of its three components function. The probabilities of the failures of the first, second and third components are 0.14, 0.10 and 0.05 respectively. What is the probability that the machine will fail.

If the probability of winning a game is 0.3, what is the probability of loosing it ?

Two groups of students are arranging an picnic near a lake.The probability of the 1st group of getting the picnic spot is 0.6 and that of the second group is 0.4. If the 1st group get the spot, the probability of doing boating is 0.8 and that of 2nd group is 0.3 what is the probability of boating? Given that boating is done, find the probability that the 2nd group does the picnic.

It is given that in a group of 3 students, the probability of 2 students not having the same birthday is 0.992. What is the probability that the 2 students have the same birthday?

It is given that in a group of 3 students, the probability of 2 students not having the same birthday is 0.992. What is the probability that the 2 students have the same birthday?

Whenever horses a,b,c race together, their respective probabilities of winning the race are 0.3,0.5, and 0.2, respectively. If they race three times, the probability that the same horse wins all the three races, and the probability that a,b,c each wins one race are, respectively

A tennis match of best of 5 sets is played by two players A and B. The probability that first set is won by A is 1/2 and if he losed the first, then probability of his winning the next set is 1/4, otherwise it remains same. Find the probability that A wins the match.

An anti-aircraft gun can take a maximum of four shots at an enemy plane moving away from it. The probabilities of hitting the plane at the first, second, third and fourth shot are 0.4, 0.3, 0.2 and 0.1 respectively. What is the probability that the gun hits the plane ?