SOLUTION: If I draw 3 cards at once (from standard deck 52, no replacement) find the following probabilities:
a) at least one face card
b) exactly one face card or one ace card (but not on
Algebra.Com
Question 656197: If I draw 3 cards at once (from standard deck 52, no replacement) find the following probabilities:
a) at least one face card
b) exactly one face card or one ace card (but not one of each)
c) exactly two face cards
d) one spade, one heart, one diamond
e) at least one face card or one club
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If I draw 3 cards at once (from standard deck 52, no replacement) find the following probabilities:
a) at least one face card
P(at least one face) = 1 - P(no face) = 1 - 40C3/52C3 = 0.5529
--------------------------------------------------
b) exactly one face card or one ace card (but not one of each)
(40/52)(12C2/52C2) + (4/52)(48C2/52C2)
-------------------------------------------------
c) exactly two face cards
12C2/52C2 * 40C2/52C2
-------------------------------------------
d) one spade, one heart, one diamond
(4/52)(4/48)(4/44)
-------------------------------
e) at least one face card or one club
------------------------------------------
Cheers,
Stan H.
RELATED QUESTIONS
we are drawing two cards without replacement from a standard 52- card deck. find the... (answered by stanbon)
We are drawing two cards without replacement from a standard 52 card deck. Find the... (answered by ayhseddu)
1. Two cards are selected without replacement from a usual deck of 52 cards. [A deck of... (answered by stanbon)
Hi, I really need help with this problem its been years since I took math 5 and this is... (answered by solver91311)
We are drawing two cards without replacement from a standard 52-card deck. Find the... (answered by Fombitz)
We are drawing two cards without replacement from a standard 52-card deck. Find... (answered by stanbon)
Find the probability of choosing each type of card combination at random from a standard... (answered by stanbon)
25. Suppose 2 cards are drawn without replacement from an ordinary deck of 52. Find the... (answered by stanbon,whistler68)
Five cards are drawn without replacement from a standard 52 card deck. Find the... (answered by stanbon)