Question

I need help! practical math.
Given a standard 52 card deck what is the probability of 3 eights will be dealt in a row? Extra credit if you use both methods. Also How about the probability of when each of the cards found is replaced back into the deck.

I'll draw what I know so you can get what I mean

Answer 1

It depends on where in the deal you are.
At the beginning, there are 52 cards from which 1 of 4 eights can be chosen. If it is an eight, then there remain 51 cards and 1 of 3 must be chosen. If that is an eight, there remain 50 cards, and 1 of 2 eights must be chosen.

This is the most unlikely scenario, with a probability of
(4/52)(3/51)(2/50) = 0.00018.

If you replace the eights, you have
(4/52)(4/52)(4/52)=0.00046.

Answer 2

Correct!

Answer 3

Thank you.

Answer 4

@darkside3704 - Did @douglaswinslowcooper 's great explanation help you?

Answer 5

Yeah I wrote out the problem wrong it was suppose to be 52 51 50 lmfao. But yes, just the whole fractions that got me,

Answer 6

How do you do you multiply fractions?

Answer 7

$$
\cfrac{2}{3}\times\cfrac{8}{5}=\cfrac{2\times 8}{3\times 5}
$$

Answer 8

(a/b)(c/d) = (ac)/(bd)