Question 5 - Past Year MCQ - Chapter 15 Class 10 Probability (Term 1)
Last updated at Nov. 19, 2021 by
Question 5
The probability that a number selected at random from the numbers 1, 2, 3, ....., 15 is a multiple of 4, is:
(a) 4/15 (b) 2/15
(c) 1/5 (d) 1/3
Transcript
Question 5 The probability that a number selected at random from the numbers 1, 2, 3, ....., 15 is a multiple of 4, is: (a) 4/15 (b) 2/15 (c) 1/5 (d) 1/3 Total numbers = 15 Multiples of 4 are… 4, 8, 12, 16, 20, 24, 28, 32, …. Number of multiples of 4 less than 15 = 3 Thus, P(getting a multiple of 4) = (𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑚𝑢𝑙𝑡𝑖𝑝𝑙𝑒𝑠 𝑜𝑓 4)/(𝑇𝑜𝑡𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟𝑠) = 3/15 = 𝟏/𝟓 So, the correct answer is (c)
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Solution
Given numbers are 1,2,3,4,........., 15.
Total number of possibilities = 15.
Multiple of 4 are { 4,8,12}
Number of favourable out comes = 3
Probability that a number selected at random from the numbers is a multiple of 4
=315=15
answer:- (c) 15
Q. Mark the correct alternative in each of the following:
The probability that a number selected at random from the numbers 1, 2, 3, ..., 15 is a multiple of 4, is
(a) 415 (b) 215 (c) 15 (d) 13 [CBSE 2014]
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The probability that a number selected at random from the numbers 1, 2, 3, ..., 15 is a multiple of 4, is
`(A)4/15`
`(B)2/15`
`(C)1/5`
`(D)1/3`
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Solution
Correct answer: C
The multiples of 4 between 1 and 15 are 4, 8 and 12. The probability of getting a multiple of `4=3/15=1/5`
Concept: Basic Ideas of Probability
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2013-2014 (March) All India Set 2
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2013-2014 (March) All India Set 2 (with solutions)
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