Question

The probability that a number selected at random from the first 50 natural numbers is a composite number is

Answer 1

Answer:

17/25

Step-by-step explanation:

no of composite =50-(15+1)=34

probability =34/50

                =17/25

Answer 2

Concept

A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Equivalently, it is a positive integer that has at least one divisor other than 1 and itself.

Probability is a measure of the likelihood that an event will occur. Many events cannot be predicted with absolute certainty. We can only predict the probability that an event will occur, i.e. how likely it is to occur, using it. Probability can range from 0 to 1, where 0 means the event is impossible and 1 indicates a certain event.

Probability of an event occurring P(E) = number of favorable outcomes/total number of outcomes

Given

It is given that a number selected at random from the first 50 natural numbers is a composite number

Find

We need to find it's probability

Solution

The composite number from 1 to 50 are 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50

Total composite number are 34

The probability that a number selected at random from the first 50 natural numbers is a composite number is 34/50 = 17/25

Hence the probability is 17/25

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