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

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

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

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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)

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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RD Sharma Solutions Class 10 Mathematics Solutions for Probability Exercise 13.1 in Chapter 13 - Probability

Question 39 Probability Exercise 13.1

What is the probability that a number selected from the numbers 1, 2, 3, …, 15 is a multiple of 4?

Answer:

Solution:

The mathematical term describing the possibility that something will happen is "probability. It is the capacity to comprehend and measure the likelihood of various combinations of outcomes.

Given: Numbers are from 1 to 15. One number is selected

Required to find: Probability that the selected number is a multiple of 4

Total number between from 1 to 15 to 15

Numbers that are multiple of 4 are 4, 8 and 12.

We know that, Probability = Number of favourable outcomes/ Total number of outcomes

Thus, the probability of selecting a number which a multiple of 4 is 3/15 = 1/5

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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

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

` P(getting a multiple of 4) = ` 3/15 = 1/5`.

What is the probability that a number selected from the numbers 1 to 20 is a multiple of 5?

That is, 70%.

What is the probability that a number selected from the number 1 to 25 is a prime number when each of the given number is equally likely to be selected?

Hence, the Probability of getting a prime number from 1 to 25,P(E) is 9/25. HOPE THIS ANSWER WILL HELP YOU….

What is the probability that a number selected from 1 to 16 is a prime number?

From the given 16 numbers, the numbers that are prime numbers are 2,3,5,7,11,13. Hence, \[\dfrac{3}{8}\] is the probability that the number selected from the numbers \[1,2,3,4,5,..........,16\] is a prime number. So, the correct option is “option C”. So, the correct answer is “Option C”.