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Suppose a girl throws a die. If she gets...

Suppose a girl throws a die. If she gets a 5 or 6, she tosses a coin three times and notes the numbers of heads. If she gets 1,2,3, or 4, she tosses a coin once and notes whether a head or a tail is obtained. If she attained exactly one head what is the probability that she threw 1,2,3, or 4 with the die?

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The correct Answer is:
`(8)/(11)`
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Suppose a girl throws a die. If she gets a 5 or 6, she tosses a coin three times and notes the number of heads. If she gets 1, 2, 3 or 4, she tosses a coin once and notes whether a head or tail is obtained. If she obtained exactly one head, what is the probability that she threw 1, 2, 3 or 4 with the die ?

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OMEGA PUBLICATION-PROBABILITY-Multiple Choice Questions (MCQs)
  1. Suppose a girl throws a die. If she gets a 5 or 6, she tosses a coin t...

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  2. If P (A) = 1/2 , P(B) = 0 then P (A|B) is :

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  3. If A and B are two events such that AcapBnephi, P((A)/(B))=P((B)/(A))...

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  4. The probability of obtaining an even prime number on each die, when a ...

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  5. Two events A and B will be independent, if:

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  6. Probability that A speaks truth is 4/5. A coin is tossed. A reports t...

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  7. If A and B are two events such that AsubB and P(B) ne 0, then which of...

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  8. The mean of the numbers obtained on throwing a die having written 1 on...

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  9. Suppose that two cards are drawn at random from a deck of cards. Let X...

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  10. In a box containing 100 bulbs, 10 are defective. The probability that ...

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  11. The probability that a student is not a swimmer is 1/5. Then the prob...

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  12. If P(A/B) > P(A), then which of the following is correct : :

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  13. If A and B are two events such that P(A) ne 0 and P(B/A) = 1, then

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  14. If A and B are any two events such that : P(A) + P(B) – P(A and B) = P...

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  15. If P(A)=(6)/(11),P(B)=(5)/(11) and P(AuuB)=(-1)/(11) then P(AnnB) is

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  16. If P(A)=(6)/(11),P(B)=(5)/(11) and P(AuuB)=(-1)/(11) then P(AnnB) is

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  17. The event A and B are independent if

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  18. Three coins are tossed then probability of at least one head

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  19. If P(A) = 7/13, P(B) = 9/13 and P(A nn B) = 4/13· then P(A/B) is equal...

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  20. lf 2P(A)=P(B) = 5/13 and P(A//B) = 2/5 then find P (A uu B).

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  21. If P (A) = 1/2 , P(B) = 0 then P (A|B) is :

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