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 coresponding probability is 0.3 if the second group wins. Find the probability that the new product introduced was by the second group.

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • PROBABILITY

    NEW JOYTHI PUBLICATION|Exercise SOLUTIONS TO NCERT TEXT BOOK EXERCISE 13.4|17 Videos

  • PROBABILITY

    NEW JOYTHI PUBLICATION|Exercise SOLUTIONS TO NCERT TEXT BOOK EXERCISE 13.5|15 Videos

  • PROBABILITY

    NEW JOYTHI PUBLICATION|Exercise SOLUTIONS TO NCERT TEXT BOOK EXERCISE 13.2|18 Videos

  • PRINCIPLES OF MATHEMATICAL INDUCTION

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|4 Videos

  • RELATIONS AND FUNCTIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|33 Videos

Similar Questions

Explore conceptually related problems

It is given that in a group of 4 students, the probability of 2 students not having the same birthday is 0.893 . What is the probability that the 2 students have the same birthday?

The probability of two events A and B are 0.3 and 0.6 respectively. The probability that both A and B occur simultaneously is 0.18. The probability that neither A nor B occurs is

The faces of a die bear numbers 0,1,2,3,4,5,. If the die is rolled twice, then find the probability that the product of digits on the upper face is zero.

A two digit number is to be formed from the digits 0,1,2,3,4. Repetition of the digit is allowed . Find the probability that the number so formed is a - prime number

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?

Two thirds of the students in a class are boys and the rest girls. It is known that eh probability of a girl getting a first class is 0.25 and that of a boy getting a first class is 0.28. find the probability that a student chosen at random will get first class marks in the subject.

A two digit number is to be formed from the digits 0,1,2,3,4. Repetition of the digit is allowed . Find the probability that the number so formed is a - multiple of 4

A two digit number is to be formed from the digits 0,1,2,3,4. Repetition of the digit is allowed . Find the probability that the number so formed is a - multiple of 11.

The chances of X, Y and Z becoming managers of a certain company are 4 : 2 : 3. The probabilities that bonus scheme will be introduced if X, Y and Z become managers are 0.3, 0.5 and 0.4 respectively. If the bonus scheme has been introduced, what is the probability that Z was appointed as the manager?