Question

Charlie guest 2 digit numbers such that the sum of its digits is 11. what is the probability that Charlie guessed a number that is divisible by 4?

Answer 1

Answer:

2 digit numbers whose sum is 11 include-11, 29,38,47,56,65,74,83,92

In these the numbers divisible by 4 are 56 and 92.

Hence the probability is =2/9

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Answer 2

The probability that Charlie guessed a number that is divisible by 4 is 1/4 or 0.25.

Given:

Charlie guesses 2-digit numbers such that the sum of their digits is 11.

To find:

The probability that Charlie guessed a number that is divisible by 4?

Solution:  

Formula used:

Probability of an event,

P(E) = [ Number of favorable outcomes ]/ [Total number of outcomes ]  

The set of 2-digit numbers that gives 11 as their sum is

{ 29, 38, 47, 56, 65, 74, 83, 92 }

From the above set,

The numbers which can be divided by 4 are 56 and 92.  

So, the number of favorable outcomes that are getting 56 or 92 = 2

Total number of outcomes = 8

Using the above formula,

P(E) = 2/8 = 1/4 = 0.25

Therefore,

The probability that Charlie guessed a number that is divisible by 4 is 1/4 or 0.25.

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