SOLUTION: Out of 52 deck of cards, 4 cards are pulled out. What is the probability for: a) all the cards to have the same value b)all the cards to have the same sign c) all the card to

Algebra ->  Permutations -> SOLUTION: Out of 52 deck of cards, 4 cards are pulled out. What is the probability for: a) all the cards to have the same value b)all the cards to have the same sign c) all the card to       Log On


   



Question 213277: Out of 52 deck of cards, 4 cards are pulled out. What is the probability for:
a) all the cards to have the same value
b)all the cards to have the same sign
c) all the card to be in hearts

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
a)
Say you want all 3's
For the 1st card:
4%2F52
2nd card:
3%2F51
3rd card:
2%2F50
4th card:
1%2F49
And all 4 cards:
%284%2F52%29%2A%283%2F51%29%2A%282%2F50%29%2A%281%2F49%29 (do the math)
b)
I don't know what "same sign" means
c)
All hearts:
1st card:
13%2F52
2nd card:
12%2F51
3rd card:
11%2F50
4th card:
10%2F49
And all 4 cards:
%2813%2F52%29%2A%2812%2F51%29%2A%2811%2F50%29%2A%2810%2F49%29