Solve this: Example 3: Two numbers are randomly selected from the first 100 natural numbers The - Maths - Probability

Question

Solve this:

Example 3: Two numbers are randomly selected from
the first 100 natural numbers The probability that the product of
the numbers is divisible by 7 is

Shruti Tyagi · Accepted Answer

Dear Student,

Number of ways of selecting 2 numbers out of first 100 natural numbers=C2100Number of ways such that product of the two numbers is divisible by 7For this to happen atleast one of the two numbers should be 7 or multiple of 7 and the other can be anythingNow there 14 Multiples of 7 from 1 to 100 i
e 7,14,21
98Hence required probability=1-P(none of the numbers divisible by 7)=1-C214C2100=1-14×132100×992=1-914950=48594950

Regards,

Solve this: Example.3: Two numbers are randomly selected from the first 100 natural numbers. The probability that the product of the numbers is divisible by 7 is

Solve this:

Example.3: Two numbers are randomly selected from the first 100 natural numbers. The probability that the product of the numbers is divisible by 7 is