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If you draw two marbles in sequence from...

If you draw two marbles in sequence from a bowl with 10 black and 4 yellow marbles ltbr. And replace the first marvle before packing the second , what is the probability that
both marbles are yellow ?

Text Solution

Verified by Experts

Since there are 14 marbles makes the probabilites for the first marble are
`(4)/(14) " for Y and " (10)/(14)` for B . The return of the first marble makes the first and second picks
independent , so the second pick has the same probabilities
Use the formula ` P(A nn B) = P (A)cdotP(B)` , where A and B are both Y (yellow).
to find `P(YnnY ) = (4)/(14)cdot(4)/(14) = (16)/(196)` .
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ENGLISH SAT-PROBABILITY -EXERCISES
  1. If you draw two marbles in sequence from a bowl with 10 black and 4 ye...

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  2. With the throw of two dice, what is the probability that the sum will...

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  3. If a coin is flipped and one die is thrown, what is the probability of...

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  4. Three cards are drawn from an ordinary deck of 52 cards. Each card is ...

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  5. in is tossed three times. Let A = {three heads occur} and B = {at leas...

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  6. A class has 12 boys and 4 girls. If three students are selected at ran...

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  7. Ared box contains eight itmes, of which three are defective, and a blu...

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  8. A hotel has five single room available, for which six men and three wo...

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  9. Of all the articles in a box, 80% are satisfactory, while 20% are not....

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  10. With the throw of two dice, what is the probability that the sum will...

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  11. If a coin is flipped and one die is thrown, what is the probability of...

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  12. Three cards are drawn from an ordinary deck of 52 cards. Each card is ...

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  13. A coin is tossed three times. Let A = {three heads occur} and B = {at ...

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  14. A class has 12 boys and 4 girls. If three students are selected at ran...

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  15. Ared box contains eight itmes, of which three are defective, and a blu...

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  16. A hotel has five single room available, for which six men and three wo...

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  17. Of all the articles in a box, 80% are satisfactory, while 20% are not....

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