Q17 of 105 Page 546

The probability of obtaining an even prime number on each die, when a pair of dice is rolled is

Given: A pair of dice is rolled.

Hence the number of outcomes = 36


Let P(E) be the probability to get an even prime number on each die.


As we know the only even prime number is 2.


So, E = {2,2}


⇒


The correct answer is D.

More from this chapter

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15

One card is drawn at random from a well shuffled deck of 52 cards. In which of the following cases are the events E and F independent?

(i) E : ‘the card drawn is a spade’


F : ‘the card drawn is an ace’


(ii) E : ‘the card drawn is black’


F : ‘the card drawn is a king’


(iii) E : ‘the card drawn is a king or queen’


F : ‘the card drawn is a queen or jack’.

 16

In a hostel, 60% of the students read Hindi newspaper, 40% read English newspaper and 20% read both Hindi and English newspapers. A student is selected at random.

(a) Find the probability that she reads neither Hindi nor English newspapers.


(b) If she reads Hindi newspaper, find the probability that she reads English newspaper.


(c) If she reads English newspaper, find the probability that she reads Hindi newspaper

 18

Two events A and B will be independent, if

 1

An urn contains 5 red and 5 black balls. A ball is drawn at random, its colour is noted and is returned to the urn. Moreover, 2 additional balls of the colour drawn are put in the urn and then a ball is drawn at random. What is the probability that the second ball is red?