A number is chosen at random from 1 to 50. Find the probability of selecting divisors of 48

The probability that a number is chosen at random is a divisor of 48 is 0.18.

What is a expression? What is a mathematical equation? What is Probability?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. The formula to calculate the probability of occurrence of an event 'A' can be written as -  

P(A) = n(A)/n(S)

where -

n(A) = Number of outcomes favorable to event A.

n(S) = Total number of outcomes

We have a number is chosen at random from 1 to 50.

The divisors of 48 are -

1, 2, 3, 4, 6, 8, 12, 16, 24

n(A) = 9

n(S) = 50

So, we can write the probability as -

P(A) = n(A)/n(S)

P(A) = 9/50

P(A) = 0.18

Therefore, the probability that a number is chosen at random is a divisor of 48 is 0.18.

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