Question

if you are dealt 3 cards from a shuffled deck of 52 cards find the probability that all 3 cards are picture cards

Answer 1

In a deck there are 4 colors and 3 faces per color, so 12 faces total.
the probability you will draw 3 picture cards is:

the probability you draw one picture card 12/52
multiplied by the probability that after drawing one picture card you draw another 11/51
multiplied by the probability that having drawn 2 picture cards, you draw another picture card 10/50

so P= (12/52)*(11/51)*(10/50)= 0.009955

you have about a 1% chance