Probability Ques 51
Question-
There are 200 cards which are numbered from 1 to 200 . What is the probability of choosing a card that has either perfect cube or perfect square and the unit digit is either multiple of 3 or multiple of 2 ?
(1) $\frac{33}{199}$
(2) $\frac{11}{200}$
(3) $\frac{22}{155}$
(4) $\frac{10}{199}$
(5) $\frac{9}{197}$
(IBPS RRBs Officer CWE Prelim Exam, 07.08.2021)
Show Answer
Correct Answer: 2
Solution: (2)
Total outcomes $=200$
Perfect square numbers $=1,4,9,16,25,36,49,64,81,100,121,144,169,196$ and perfect cube numbers $=1,8,27,125$
Multiple of 3 or multiple of 2=4, 8, 9, 16, 36, 49, 64, 100, 144, 169 and 196
There are 11 favourable outcomes.
Required probability $=\frac{11}{200}$
BETA
