Q34 of 66 Page 15

In a single throw of a pair of different dice, what is the probability of getting (i) a prime number on each dice? (ii) a total of 9 or 11?[CBSE 2016]

Two dice can be thrown in 6 × 6

= 36 ways


(i) Now a prime number on each dice can be obtained as follows:


(2, 2), (2, 3), (2, 5), (3, 2), (3, 3), (3, 5), (5, 2), (5, 3), (5, 5) = 9 ways


∴



(ii) Also total of 9 or 11 can be obtained as follows:


(3, 6), (6, 3), (4, 5), (5, 4), (5, 6), (6, 5) = 6 ways



More from this chapter

All 66 →
32

A letter of English alphabet is chosen at random. Determine the probability that the chosen letter is a consonant.[CBSE 2015]

 33

A letter of English alphabet is chosen at random. Determine the probability that the chosen letter is a consonant.[CBSE 2015]

 35

Two different dice are thrown together. Find the probability of:

(i) getting a number greater than 3 on each die


(ii) getting a total of 6 or 7 of the numbers on two dice [CBSE 2016]

 36

a box consists of 100 shirts of which 88 are good, 8 have minor defects and 4 have major defects. Ramesh, a shopkeeper will buy only those shirts which are good but ‘Kewal’ another shopkeeper will not buy shirts with major defects. A shirt is taken out of the box at random. What is the probability that

(i) Ramesh will buy the selected shirt?


(ii) ‘Kewal’ will buy the selected shirt? [CBSE 2016]