Question

A deck of playing cards has 52 cards, of which 13 are diamonds. If you shuffle the deck well and turn over the top 4 cards, one after the other, what's the probability that all 4 are diamonds?

Answer 1

The correct solution is "0.002". A further solution is given below.

Step-by-step explanation:

The given values are:

The total number of playing cards,

= 52 cards

Total number of diamonds,

= 13

Now,

The probability of top four cards will be:

=
`P(First \ diamond)* P(Second \ diamond)* P(Third \ diamond)* P(Fourth \ diamond)`On putting the values, we get

=
`(13)/(52)* (12)/(51)* (11)/(50)* (10)/(49)`

=
`0.25* 0.23* 0.22* 0.20`

=
`0.002`