CAT Question Bank  Probability

Q24) You are given a box with 20 cards in it. 10 of these cards have the letter ‘I’ printed on them. The other ten have the letter M printed on them. If you pick up 3 cards at random and keep them in the same order, the probability of making the word IIM is:

Q25) In a tennis match probability that Amit beats Sumit is 3/5 . Probability that Sumit beats Sunil is 3/5 . Probability that Sunil beats Amit is also 3/5 . If Sumit and Sunil play the first match and the winner plays against Amit what is the probability that Amit wins ?

Q26) Kurt, a painter, has 9 jars of paint:
4 are yellow
2 are red
rest are brown
Kurt will combine 3 jars of paint into a new container to make a new color,
which he will name accordingly to the following conditions:
Brun Y if the paint contains 2 jars of brown paint and no yellow
Brun X if the paint contains 3 jars of brown paint
Jaune X if the paint contains at least 2 jars of yellow
Jaune Y if the paint contains exactly 1 jar of yellow
What is the probability that the new color will be Jaune
a) 5/42
b) 37/42
c) 1/21
d) 4/9
e) 5/9

Q27) The probability that in a household LPG will last 60days or more is 0.8 and that it will last at most 90 days is 0.6. the probability that the LPG will last at most 60 to 90 days is
a) 0.40
b) 0.75
c) 0.50
d) None of these

Q28) A softball team plays two games each weekend, one on Saturday and the other on Sunday. The probability of winning the game scheduled for next Saturday is 3/5 and the probability of winning the following game, scheduled for Sunday, is 4/7. What is the probability that the team will win at least one of the two games?

Q29) A box contains 20 electric bulbs, out of which 4 are defective. Two bulbs are chosen at random from this box. The probability that at least one of these is defective is :
(a) 4/9
(b) 7/19
(c) 12/19
(d) 21/95

Q30) Two squares are chosen at random on a chessboard. What is the probability that they have a side in common?

@rowdyrathore 5/48

@rowdyrathore 1/27

@rowdyrathore  Solution pls.