1. What is the probability that a card drawn at random from a shuffled deck of 52 normal playing cards is a Heart or a Faced card? Be sure to avoid double counting.

2. how many arrangements can be made from the 26 letters in the English alphabet by:
a. 2 different letters?
b. 3 different letters?
c. 4 letters without replacement?
d. 4 letters with replacement?

3. Fourteen people try out for a baseball team. In how many different ways could they select:
a. the pitcher and the catcher?
b. the three outfielder, after the pitcher and catcher have been selected?

Question

1. What is the probability that a card drawn at random from a shuffled deck of 52 normal playing cards is a Heart or a Faced card? Be sure to avoid double counting.

2. how many arrangements can be made from the 26 letters in the English alphabet by:
a. 2 different letters?
b. 3 different letters?
c. 4 letters without replacement?
d. 4 letters with replacement?

3. Fourteen people try out for a baseball team. In how many different ways could they select:
a. the pitcher and the catcher?
b. the three outfielder, after the pitcher and catcher have been selected?

anonymous · Answer

3
 c. the four infielders (1st, 2nd, SS, and 3rd), after the other five team members have been selected?

anonymous · Answer

do you know how many hearts are in the deck?

anonymous · Answer

@satellite73 no

venomblast · Answer

there's 13 hearts
13 spades, 13 diamonds and 13 Clubs

venomblast · Answer

For faces, there's 4 kings, 4 queens and 4 Jacks. P(FACE) = 12/52

venomblast · Answer

THis is how you set it up. P(FUH)
F= Face and H= heart
P(FUH)=P(F)+P(H)-P(FH)
12/52 + 13/52 - 1/52 = 24/52 = 6/13

venomblast · Answer

@mgmk Please open another question.