15.8 probability day 4
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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 green Total = 10. W. W. W. G. G. G. or. - PowerPoint PPT PresentationTRANSCRIPT
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15.8 Probability Day 4
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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
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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)
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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
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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
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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
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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
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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
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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
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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
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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:
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Homework
#8 12-6 Practice WSCST Quiz now so put calculators away!