SOLUTION: A card is selected from a deck of 52 playing cards. Find the probability of selecting 1. a prime number under 10 given the card is a heart 2. a spade or a club given the card is

Question 314346: A card is selected from a deck of 52 playing cards. Find the probability of selecting
1. a prime number under 10 given the card is a heart
2. a spade or a club given the card is black
3. a queen, given the card is not a spade.
Here's how I did number 1:
13 cards are hearts but only 4 of them are prime (2, 3, 5,7)
so, 4/13.
Please help with number 2 and 3. Thank you so much.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A card is selected from a deck of 52 playing cards. Find the probability of selecting
1. a prime number under 10 given the card is a heart
---
13 cards are hearts but only 4 of them are prime (2, 3, 5,7)
so, 4/13.
Good
----------------------------
2. a spade or a club given the card is black
# of spade or club = 26
# of black = 26
P(spade or club given black) = 26/26 = 1
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3. a queen, given the card is not a spade.
# of "not spade" cards : 39
# of queen that are not spade: 3
--------
P(queen,not spade) = 3/39 = 1/13
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Cheers,
Stan H.
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