MCA Entrance Previous Year Question Bank

Three cards are chosen at random from a deck of 52 cards without replacement. What is the probability of getting an ace, a king and a queen in that order?

Consider the following statements:

1. $P(\bar{A}\cup B)=P(\bar{A})+P(B)-P(\bar{A}\cap B)$

2. $P(A\cup \bar{B})=P(B)-P(A\cap B)$

3. $P(A\cap B)=P(B)P(A|B)$

Which of the above statement are correct?

If $P(A)=0.5$, $P(B)=0.7$ and $P(A\cap B)=0.3$, then what is the value of $P(A^{\prime }\cap B^{\prime })+P(A^{\prime }\cap B)+P(A\cap B^{\prime })$?

A bag contains 7 red and 4 blue balls. Two balls are drawn at random with replacement. The probability of getting the balls of different colors is: