Question

A card is drawn at random from a standard 52-card deck. What is the probability that it is an odd number (3,5,7,9) or a spade (or both)?

Answer 1

The probability of selecting the given event =
`(25)/(52)`

Explanation:

A card is drawn at random from a standard 52-card deck.

We have to find the probability of selecting an odd numbered card(3,5,7,9) or spade or both.For this we have to find the number of favourable cases.

Favorable cases = 13 (all the spades) + 12(4 odd numbered cards from each of the remaining 3 )

= 25

Final probability =
`(number of favourable cases)/(total number of cases)`

=
`(25)/(52)`

Hence the probability =
`(25)/(52)`