b. 1/3
c. 2/3
d. 1
(PLEASE HELP AND PLEASE EXPLAIN)!!!
The probability that a number is chosen at random is a divisor of 48 is 0.18.
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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