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A bag contains 5 white and 3 black balls and a second bag contains 4 white and 5 black balls and a third bag contains 3 white and 6 black balls. A bag is selected at random and a ball is drawn. Find the probability that the ball is black. Do the problem assuming that the probability of choosing each bag is same.

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Important Questions on Probability

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IMPORTANT
Elements of Mathematics Class 12>Chapter 6 - Probability>EXERCISES 6(b)>Q 2
A bag contains 5 white and 3 black balls and a second bag contains 4 white and 5 black balls and a third bag contains 3 white and 6 black balls. A bag is selected at random and a ball is drawn. Find the probability that the ball is black. Do the problem assuming that the probability of choosing the first bag is twice as much as choosing the second bag, which is twice as much as choosing the third bag.
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Elements of Mathematics Class 12>Chapter 6 - Probability>EXERCISES 6(b)>Q 3
A and B play a game by alternately throwing a pair of dice. One who throws 8 wins the game. If A starts the game, find their chances of winning.
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12th Odisha Board
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Elements of Mathematics Class 12>Chapter 6 - Probability>EXERCISES 6(b)>Q 4
A, B, C play a game by throwing a pair of dice in that order. One who throws 8 wins the game. If A starts the game, find their chances of winning.
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Elements of Mathematics Class 12>Chapter 6 - Probability>EXERCISES 6(b)>Q 5
There are 6 white and 4 black balls in a bag. If four are drawn successively (and not replaced), find the probability that they are alternately of different colour.
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Elements of Mathematics Class 12>Chapter 6 - Probability>EXERCISES 6(b)>Q 6
Five boys and four girls randomly stand in a line. Find the probability that no two girls come together.
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IMPORTANT
Elements of Mathematics Class 12>Chapter 6 - Probability>EXERCISES 6(b)>Q 7
If you throw a pair of dice n time, find the probability of getting at least one doublet.
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IMPORTANT
Elements of Mathematics Class 12>Chapter 6 - Probability>EXERCISES 6(b)>Q 8
Suppose that the probability that your alarm goes off in the morning is 0.9. If the alarm goes off, the probability is 0.8 that you attend your 8 a.m class. If the alarm does not go off, the probability that you make your 8 a.m. class is 0.5. Find the probability that you make your 8 a.m. class.
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IMPORTANT
Elements of Mathematics Class 12>Chapter 6 - Probability>EXERCISES 6(b)>Q 9
If a fair coin is tossed 6 times, find the probability that you get just one head.