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I am finishing up some...

I am finishing up some statistics homework and was hoping you could check the work...some of the formula(e) I am using seems like over kill. I am also asked to provide the notation of the rule that applies.

4-1.

14. Drawing a Card: If one card is drawn from deck, find the probability of getting these results.

a. An ace: P(Ace)=4/52=1/13, Probability rule

b. A diamond: P(Diamond)=13/52=1/4, Probability rule

c. An ace of diamonds: P(Ace of Diamonds)=1/52, Probability rule

d. A 4 or a 6: P(4 or 6)=P(4)+P(6)=4/52=2/13, Addition rule

e. A 4 or a club: P(4 or club)=P(4)+P(Club)-P(Club and 4)=4/13, Addition rule

f. A 6 or a spade: P(6 or Spade)=P(6)+P(Spade)-P(Spade and 6)=4/52+13/52-1/52=4/13, Addition rule

g. A heart or a club: P(Heart or Club)=P(Heart)+P(Club)=13/52+13/52=½, Addition rule

h. A red queen: P(Red Queen)=2/52=1/26, Probability rule

i. A red card or a 7: P(Red Card or 7)=P(Red Card)+P(7)-P(Red card and 7)=26/52+4/52-7/52=7/13, Addition rule

j. A black card and a 10: P(Black card and 10)=P(of a 10/of a Black card)*P(Black card)=2/26*26/52=1/26, Multiplication rule

4-3.

8. If 2 cards are selected from a standard deck of 52 cards without replacement, find these possibilities.

a. Both are spades. (13/52*12/51)=1/17, Multiplication rule

b. Both are the same suit. 4*(1/17)=4/17, Addition rule

c. Both are kings. (4/52)*(3/51)=1/221, Multiplication rule

4-1.

14. Drawing a Card: If one card is drawn from deck, find the probability of getting these results.

a. An ace: P(Ace)=4/52=1/13, Probability rule

b. A diamond: P(Diamond)=13/52=1/4, Probability rule

c. An ace of diamonds: P(Ace of Diamonds)=1/52, Probability rule

d. A 4 or a 6: P(4 or 6)=P(4)+P(6)=4/52=2/13, Addition rule

e. A 4 or a club: P(4 or club)=P(4)+P(Club)-P(Club and 4)=4/13, Addition rule

f. A 6 or a spade: P(6 or Spade)=P(6)+P(Spade)-P(Spade and 6)=4/52+13/52-1/52=4/13, Addition rule

g. A heart or a club: P(Heart or Club)=P(Heart)+P(Club)=13/52+13/52=½, Addition rule

h. A red queen: P(Red Queen)=2/52=1/26, Probability rule

i. A red card or a 7: P(Red Card or 7)=P(Red Card)+P(7)-P(Red card and 7)=26/52+4/52-7/52=7/13, Addition rule

j. A black card and a 10: P(Black card and 10)=P(of a 10/of a Black card)*P(Black card)=2/26*26/52=1/26, Multiplication rule

4-3.

8. If 2 cards are selected from a standard deck of 52 cards without replacement, find these possibilities.

a. Both are spades. (13/52*12/51)=1/17, Multiplication rule

b. Both are the same suit. 4*(1/17)=4/17, Addition rule

c. Both are kings. (4/52)*(3/51)=1/221, Multiplication rule

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