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

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

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

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

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Solution

Number of possible events = 15Let A be the favourable event such that it is a multiple of 4 which are 4, 8, 12∴P(A)=315=15

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What is probability that a number selected from 1/2 3?

P=3010=31.

What will be the probability that the selected number is a multiple of 3 and 4 if a number is selected at random from the first 50 natural numbers?

Multiples of 3 and 4 from 1 to 50 are 12, 24, 36 and 48. The probability that it is a multiple of 3 and 4 is 225 .

What is the probability that a number selected from numbers 1 2 3 30 is a prime number when each of the given numbers is equally likely to be selected?

Solution : Prime numbers from 1 to 30 are 2,3,5,7,11,13,17,19,23,29.
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Hence, the required probability of getting a prime number , P(E1) = 11/35 .