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प्रश्न
A bag contains 8 red and 5 white balls. Three balls are drawn at random. Find the probability that all one ball is red and two balls are white
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उत्तर
Given that: Number of red balls = 8
Number of white balls = 5
P(one ball is red and two balls are white) = `(""^8C_1 xx ""^5C_2)/(""^13C_3)`
= `(8 xx 10)/((13!)/(3! xx 10!))`
= `(8 xx 10)/(13!) xx (3! xx 10!)/1`
= `(8 xx 10 xx 3 xx 2 xx 10!)/(13 xx 12 xx 11 xx 10!)`
= `(8 xx 10 xx 6)/(13 xx 12 xx 11)`
= `40/143`
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संबंधित प्रश्न
Which of the following can not be valid assignment of probabilities for outcomes of sample space S = {ω1, ω2,ω3,ω4,ω5,ω6,ω7}
| Assignment | ω1 | ω2 | ω3 | ω4 | ω5 | ω6 | ω7 |
| (a) | 0.1 | 0.01 | 0.05 | 0.03 | 0.01 | 0.2 | 0.6 |
| (b) | `1/7` | `1/7` | `1/7` | `1/7` | `1/7` | `1/7` | `1/7` |
| (c) | 0.1 | 0.2 | 0.3 | 0.4 | 0.5 | 0.6 | 0.7 |
| (d) | –0.1 | 0.2 | 0.3 | 0.4 | -0.2 | 0.1 | 0.3 |
| (e) | `1/14` | `2/14` | `3/14` | `4/14` | `5/14` | `6/14` | `15/14` |
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| (iv) |
\[\frac{1}{14}\]
|
\[\frac{2}{14}\]
|
\[\frac{3}{14}\]
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\[\frac{4}{14}\]
|
\[\frac{5}{14}\]
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\[\frac{6}{14}\]
|
\[\frac{15}{14}\]
|
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