Problema Solution

if you are dealt 4 cards from a shuffled deck of 52 cards, find the probability that all 4 cards are picture cards.

Answer provided by our tutors

if you are dealt 4 cards from a shuffled deck of 52 cards, find the probability that all 4 cards are picture cards.


there are 3 pictures card per suit and 4 suits per deck, so we have 3*4=12 possibilities the first time a card is chosen, then 11 possibilities for the second pic, etc.


these are random picks that must happen in succession, therefore we multiply their probabilities:

(12/52) * (11/51) * (10/50) * (9/49) = 0.00183


so there is less than a 1% probability of this happening (0.183%), probability as a decimal is 0.00183