Question

If the numbers 1 to 100 are written on 100 pieces of paper, (one on each) and one piece is picked at
random, then Find the probability that the number drawn is a factor of 50.
Select one:
O a. 3750
b. 3/25
O C. 1/50
O d. 1/25

Answer 1

Answer:

3/50

Step-by-step explanation:

Concept = Probability

Given= The sample space and the event

To find= The probability of event

Explanation=

We have been given that if the numbers 1 to 100 are written on 100 pieces of paper, (one on each) and one piece is picked at random, then Find the probability that the number drawn is a factor of 50.

So, if on 100 pieces it is written 1 to 100 then the total values will be 100.

Therefore the sample space is 100.

Sample space is denoted by S.

S =  100 values

n(S) = 100.

Now we have to find the probability of the outcome for factors of 50.

Factors are the number which divides the given number from 1 to number it self.

Factors of 50 = 1, 2, 5, 10, 25 and 50.

Therefore Event E is defined as the factors of 50.

E =  1, 2, 5, 10, 25 and 50.

n(E) = 6

Probability = Number of event/Sample space

=> n(E)/n(S)

=> 6/100

=> 3/50

Therefore the probability that number drawn is factor of 50 is 3/50.

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