Probability

M.E/Not M.EIndependent/Dependent

100

rolling a three or an even number on a die

mutually exclusive

200

two cards w/out replacement, drawing a club and diamond

dependent 

300

Owning a cat and tying your shoes

independent 

400

picking one card: drawing a seven or a diamond

not mutually exclusive

500

parking in an illegal spot and getting a ticket

dependent

Cards

100

Picking ONE card:

P(Queen or spade)

(4+13-1)/52

16/52

4/13

200

Pick TWO card with replacement:

P(five and ten)

(4/52)(4/52)

1/169

300

Picking TWO cards w/out replacement

P(black and black)

(26/52)(25/51)

25/102

400

Picking TWO cards w/out replacement

P(exactly one Jack)

(4/52)(48/51)

16/221

500

Picking ONE card:

P(three|red)

2/26

1/13

Bag of marbles:5 red3 yellow2 green7 blue

100

Pick one marble, odds its yellow

3:14

200

Pick two marbles with replacement

P(red and blue)

(5/17)(7/17)

35/289

300

Pick two marbles w/out replacement

P(exactly one green)

(2/17)(15/16)

15/136

400

pick TWO marbles with replacement:

P(at least one red)

1-(12/17)(12/17)

1-(144/289)

145/289

500

Pick TWO marbles without replacement:

P(blue and blue)

(7/17)(6/16)

21/136

Random

100

what are odds in favor of drawing an Ace?

4:48  (1:12)

200

If the probability of it raining is 2/5 what are the odds against it raining? 

3:2

300

If the odds against winning a bet is 4:7, what is the probability of winning the bet?

3/11

400

4/5 of people stop at a traffic light. If three people are chosen at random, what is the probability that they all do not stop at a traffic light?

(1/5)(1/5)(1/5)=1/125

500

A couple has three children and their eye colors can only be brown or blue. What is the probability that at least one has blue eyes?

P(not blue)=(1/2)(1/2)(1/2)=1/8

1-(1/8)=7/8