Question

A two digit number is formed with the digits 2,5,9(repetition is allowed). find the probability that the number is divisible by 2.​

Answer 1

Answer:

1/3

Step-by-step explanation:

total two digit nos formed by2,5and 9 are 6

nos di isible by 2 are 2

p= 2/6=1/3

Answer 2

The probability that the number is divisible by 2 is 1/3.

• A 2-digit number is formed by using the digits 2,5,9 with repetition.
• Total number of ways of writing a 2 digit number is -

3 ways to fill the unit place and 3 ways to fill the tens place.

• Total number of ways of writing a 2 digit number using the above digits with repetition = 3×3 = 9 ways.

• Now we have to find the number of ways in which we write a 2-digit number using the digits which is divisible by 2.

• For a number to be divisible by 2 in this case, the units place must be only 2.

Number of ways filling the units place = 1

Number of ways of filling the tens place = 3

• Therefore, total number of ways writing a 2 digit number divisible by 2 is 3.

• Now probability of a number to be divisible by 2 is

(Outcome of number to be divisible by 2) / (total possibilities)

• Probability = 3/9 = 1/3
• Probability that the number is divisible by 2 is 1/3.