Question

Twenty nine cards are numbered from 1 to 29 and placed in a box. One card is selected at random and

not replaced. Another card is randomly selected. What is the probability of selecting two even numbers?

Answer 1

Answer:The probability of selecting two even numbers is
`(13)/(58)` .

Explanation:

Given , 29 cards are numbered from 1 to 29 and placed in a box.

Number of even number cards = 2,4,6,8,..., 28= 14

Number of odd number cards = 29-14=15

The probability of selecting 2 even number cards =
`(^(14)C_2)/(^(29)C_2)`

`=((14!)/(2!12!))/((29!)/(2!27!))\\\\=(14*13)/(29*28)\\\\=(13)/(58)`

Hence, the probability of selecting two even numbers is
`(13)/(58)` .