15.8 Probability Day 4

A box contains 4 white marbles and 6 green marbles.

Three marbles are selected without replacement. What is the probability that the following occurs?

1.) All white or all greenTotal = 10

410

39 2

8 24

720

120720

610

59

48

W W W G G Gor 144720

15

W W G W G Wor

A box contains 4 white marbles and 6 green marbles.

Three marbles are selected without replacement. What is the probability that the following occurs? TOTAL = 10

2.) exactly two white410

39 6

8

72720

72720

410

69

38

216720

310

G W Wor

610

49

38

72720

Or 3 Ways!!(Same Probability)

W W W

OR 3 Whites:

A box contains 4 white marbles and 6 green marbles.

Three marbles are selected without replacement. What is the probability that the following occurs? TOTAL = 10

3.) at least two white

410

39 2

8 24

720 1

30

1030

310

3 110 30

at least 2 or 3

From #2: P(exactly 2) =

13

G G W

OR 2 Green:

A box contains 4 white marbles and 6 green marbles.

Three marbles are selected without replacement. What is the probability that the following occurs? TOTAL = 10

4.) exactly 2 white or 2 green

610

59

48

120720

16

810

310

3 110 2

From #2: P(exactly 2 W) =

45

3 ways!!GWG or WGG

1 136 2

Two cards are drawn from a standard deck of 52 cards.

What is the probability that the following occurs?

5.) Two hearts, without replacement# of s in deck? 13

1352

1251

1562652

117

Two cards are drawn from a standard deck of 52 cards.

What is the probability that the following occurs?

6.) Two hearts, with replacement# of s in deck? 13

1352

1352

1692704

116

Two cards are drawn from a standard deck of 52 cards.

What is the probability that the following occurs?7.) Two red cards or two spades, without replacement

# of red cards in deck?# of s in deck?

26

2652

2551

650 1562652 2652

8062652

13

R R or

1352

1251 31

102

351

452

Two cards are drawn from a standard deck of 52 cards.

What is the probability that the following occurs?8.) Two red cards or two kings, without replacement

# of red cards in deck?# of Ks in deck?

26

2652

2551

650 122652 2652

6622652

4

R R KKor

2 152 51

BUT Kings could be red, so subtract out

P(2 red Ks) = 22652

662 22652 2652

6602652

55221

Three dice are tossed. What is the probability that the following occurs?

9.) Three 3s

10.) No 3s

16

16

1216

16

56

56

125216

56

Three dice are tossed. What is the probability that the following occurs?

11.) Exactly two 3s

12.) at least two 3s

16

16

5216

56

5 172 216

16216

1216

227

There are 3 arrangements!

5 53216 72

two or threeFrom #11: 5

72

From # 9:

Homework

#8 12-6 Practice WSCST Quiz now so put calculators away!