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

step-by-step explanation:

ending amount = beginning amount / (2^n)

where "n" = number of half-lives (or elapsed time / half-life)

ending amount = 50 mg / (2 ^10 / 5.3)

ending amount = 50 mg / (2 ^ 1.8867924528)

ending amount = 50 m / 3.6981210597

ending amount = 13.5203794557 mg

or about 13.5 mg remain

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