## anonymous one year ago A single card is chosen at random from a shuffled standard fifty-two card deck (no jokers). Find the following probabilities. 1)What is the probability that the card is black? 2)What is the probability that the card is a heart? 3)What is the probability that the card is either a diamond or a 4? 4)What is the probability that the card is at least a 7 and at most a 9? That is, P(≥7∩≤9)

1. anonymous

I guess 1) 1/2 2) 1/4 3) 17/52 or 16/52 i don't know for sure 4)21/52

2. amistre64

if we out all the diamonds and 4s into a pile, how many cards would be in the pile?

3. amistre64

if w put all the 7s, 8s and 9s in a pile, how many would be in the pile?

4. amistre64

21 might be a typo ... 12/52 seems better for that one

5. anonymous

k

6. anonymous

im a bit confuse 12/52 is from which question?

7. amistre64

the one that has 21 in it ...

8. anonymous

question 4) ?

9. anonymous

$P \left( A \cup B \right)=P \left( A \right)+P \left( B \right)$-P(A intersection B)

10. anonymous

all are correct except for 4 ?

11. amistre64

if we put all the diamonds and 4s into a pile, how many cards would be in the pile?

12. anonymous

there are 13 diamond and 4 (club diamond, heart and spade)

13. amistre64

13 diamonds, plus 1 card from each of the other 3 suits 13+3

14. anonymous

16/52

15. amistre64

yes

16. anonymous

ok

17. amistre64

if we take a 7, 8, and 9 from each suit ... so 3 cards out of 4 suits would be how many cards?

18. anonymous

12 ?

19. amistre64

yes, so 12/52 for that last one .. not 21/52

20. anonymous

ok i see

21. anonymous

now we are done here ?

22. amistre64

the rest are fine, so yeah

23. anonymous

thank you so much for the help

24. amistre64

good luck :)