Question

a multiple of 3 is selected from the first 50 natural number. what is the probability that the number is divisible by 8

Answer 1

Answer:

1/25

Step-by-step explanation:

first 50 natural nos divisible by both 3 and 8 are: 24, 48

2/50=1/25

Answer 2

The Probability That The Number Is Divisible By 8 Is 1/8.

GIVEN

Naturals number from 1-50 divisible by 3

TO FIND

The probability that the number is divisible by 8.

SOLUTION

We can simply solve the above problem as follows-

To calculate the probability following formula is used,

P(E) = Favorable outcomes/Total outcomes

Total multiple of 3 forms 1 to 50 = 16

If a number is both divisible by both 3 and 8, then can also divisible by 3×8 = 24.

So,

Numbers between 1 and 50 which are divisible by 24 are - 24 and 48

Favorable outcomes = 2

Putting the values in the formula we get,

P(E) = 2/16 = 1/8

Hence, The Probability That The Number Is Divisible By 8 Is 1/8.

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