SOLUTION: Let x determine a random variable, and use your knowledge of probability to prepare a probability distribution: 3 cards are drawn from a deck. The number of aces is counted. The

Question 588101: Let x determine a random variable, and use your knowledge of probability to prepare a probability distribution: 3 cards are drawn from a deck. The number of aces is counted.
The answer to this is:
number of aces: 0,1,2,3,4
Probability: 0.7826, 0.2042, 0.0130, 0.0002
I don't understand how they arrived at this answer. Please explain.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Let x determine a random variable, and use your knowledge of probability to prepare a probability distribution: 3 cards are drawn from a deck. The number of aces is counted.
The answer to this is:
number of aces: 0,1,2,3,4
Probability: 0.7826, 0.2042, 0.0130, 0.0002
----
There are 4 aces and 48 non-ace cards.
---
P(x = 0) = 48C3/52C3 = 0.7826
--------------------------------
P(x = 1) = [4C1*48C2]/52C3 = 4512/22100 = 0.2042
--------------------------------------
P(x = 2) = [4C2*48C1]/52C3
--------------------------------------
P(x = 3) = [4C3]/52C3
===========================================
Cheers,
Stan H.

RELATED QUESTIONS
Let x determine a random variable, and use your knowledge of probability to prepare a... (answered by ewatrrr)

Let x determine a random variable, and use your knowledge of probability to prepare a... (answered by math_tutor2020)

for experiment, let x be random variable. Probability distribution. 3 cards are drawn... (answered by stanbon)

(a) Let X be a random variable giving the number of aces in a random draw of 4 cards from (answered by math_tutor2020)

Let x be a discrete random variable that possesses a binomial distribution with n equals... (answered by rothauserc)

let x be a random variable with the following probability distribution and p(x) represent (answered by ikleyn)

Prepare a probability distribution for the experiment. Let x represent the random... (answered by )

home / study / math / statistics and probability / statistics and probability questions... (answered by rothauserc)

When two balanced dice are rolled, 36 equally likely outcomes are possible. Let X denote (answered by math_tutor2020)