anonymous 4 years ago From a standard desk of 52 card, 5 card are draw.What are the odds of each even occurring? a) 5 aces b) 5 face cards

1. ash2326

a) 5 aces , there are 4 aces in a deck so probability of getting 5 aces is zero b) king queen and jack are face cards so total face cards= 12 no. of ways 5 face cards can be drawn= 12C5 no. of ways 5 cards can be drawn= 52C5 so probability of drawing 5 face cards= 12C5/ 52C5

2. anonymous

tk,

3. ash2326

welcome nancy did you understand

4. anonymous

I will give u a medal

5. ash2326

6. anonymous

yes

7. anonymous

actually it asks for odds, not probability, although the method of finding it is the same

8. anonymous

take the number of ways to get five face cards, divide by the number of ways not got to get five face cards

9. anonymous

number of ways to get 5 face cards is $12\times 11\times 10\times 9\times 8=95040$ number of ways not to get five face cards is $\dbinom{52}{5}-95040=2503920$and so ODDS in favor of getting 5 face cards is $95040:2503920$ or $396:10433$

10. anonymous

I have a question ash

11. anonymous

face have total 12 cards?

12. ash2326

King, queen and jack are face cards, so there are 3 in each suit so total 12

13. anonymous

I'm confuse

14. ash2326

Nancy In a deck of 52 cards, there are 4 suits each suit has = 1 queen, 1 king and 1 jack= 3 face cards so in 4 suits we'll have 12 cards