Question

In a bag, there are 5 cards numbered 1 to 5. Each time a card is randomly selected, it I'd replaced in the bag. What is the probability Marsha will select an even-numbered card first and then an odd-numbered card?

Answer 1

there is a 2 out of 5 chance of pulling an even
`(2)/(5)`
there is a 3 out of 5 chance of pulling an odd the second time
`(3)/(5)`


`(2)/(5)`*
`(3)/(5)`=
`(6)/(25)`

there is a 6 out of 25 chance of it happening in that order

Answer 2

Out of 5 cards in the bag ...

-- There are 2 even numbers . . . 2 and 4 .

-- There are 3 odd numbers . . . 1, 3, and 5 .

So EITHER time, the probability of pulling an even number is 2/5 ,
and the probability of pulling an odd number is 3/5 .

The probability of pulling an even number the first time
AND an odd number the second time is

(2/5) x (3/5) = 6/25 = 24% .