What is the probability that 1 to 15 is a multiple of 4?

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

What is the probability that 1 to 15 is a multiple of 4?

What is the probability that 1 to 15 is a multiple of 4?


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

Q 1PrevQ 2

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2013-2014 (March) All India Set 2 (with solutions)

Q 1 | 1 mark

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What is the probability that a number selected from 1 to 20 is not a multiple of 3?

Answer. Step-by-step explanation: Between 1 and 20, there are 6 multiples of 3 - 3, 6, 9, 12, 15 and 18. That is, 70%.

What is the probability that a number selected at random from 1 2 3 15?

answer:- (c) 15.

What is the probability of getting a multiple of 3 from 1 to 20?

Complete step-by-step answer: Numbers on the card are: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20. Now, let us find the probability of getting a multiple of 3. Multiple of 3 between 1 to 20 are 3, 6, 9, 12, 15, 18.

What is the probability that the selected number is a multiple of 3 and 4?

Hence, the Probability of getting a number which is a multiple of 3 and 4 is 2/25.