Iift 2009 Question 104
This is a detailed step-by-step solution for Iift 2009 Question 104. Understand the concept, common mistakes, and expert tips to solve similar questions in IIFT exam.
IIFT 2009
For X:-
Probability that the card drawn is a black card = 26/52
Probability that the card drawn is a king = 4/52
Probability that the card drawn is a black king = 2/52
Therefore probability The card drawn is black or a king. = 26/52 + 4/52 - 2/52 = 28/52
For Y:-
Probability that the card drawn is a club card = 13/52
Probability that the card drawn is a heart card = 13/52
Probability that the card drawn is a jack = 4/52
Probability that the card drawn is a jack of club or a jack of heart = 2/52
Therefore probability The card drawn is a club or a heart or a jack = 13/52 + 13/52 + 4/52 - 2/52 = 28/52
For Z:-
Probability that the card drawn is a diamond card = 13/52
Probability that the card drawn is an ace card = 4/52
Probability that the card drawn is a queen card = 4/52
Probability that the card drawn is a diamond card of ace or queen = 2/52
Therefore the probability The card drawn is an ace or a diamond or a queen. = 13/52 + 4/52 + 4/52 - 2/52 = 19/52
Therefore, P (X) = P (Y ) > P (Z)
Therefore option C is the correct answer.