A deck of 52 cards contains 12 picture cards. If the 52 cards are distributed in a random manner among four players in such a way that each player receives 13 cards, what is the probability that each player will receive three picture cards

The probability that each player will receive three picture cards = 0.0324

Step-by-step explanation:

As given,

A deck of 52 cards contains 12 picture cards

Remaining card = 52 - 12 = 40

So,

Total number of ways in which 12 picture card is distributed =

Now,

The Total number of ways in which Remaining cards are distributed =

So,

Total number of ways of getting 3 picture card and remaining card = ×

=

Now,

Total number of ways to distribute 52 cards so that each people get 13 card =

∴ The probability =

                            = ×

                           = ×

                           = ×

                           = ×

                           = 0.0324

∴ we get

The probability that each player will receive three picture cards = 0.0324

just do 5.2 + 2 ( 7.2) and 1/3 x 3 (.9) and youv'e got your equation. 0.9( 9/10) + 7.2 ^2 = 16.4 hope i could !

step-by-step explanation: