Post on 09-Feb-2016
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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!