The probability that a person visiting a dentist will have his t

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 Multiple Choice QuestionsShort Answer Type

541. A card is drawn from a well shuffled pack of 52 cards. Find the probability that it is a king or an ace.
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542. A card is drawn from a well shuffled pack of 52 cards. Find the probability that it is a spade or a club.
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543. A card is drawn from a well shuffled pack of 52 cards. Find the probability that it is a king or a red card.
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544. A card is drawn from a well shuffled pack of 52 cards. Find the probability that it is neither a heart nor a king.
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 Multiple Choice QuestionsLong Answer Type

545. A bag contains 8 balls, identical except in colour, of which 5 are red and 3 are white. A man draws two balls at random. What is the probability that:

(a) one of the balls is red and one is white?

(b) both the balls are of same colour?

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546. In a town of 6000 people, 1200 are over 50 years in age and 2000 are females. It is known that 30% of the females are over 50 years in age. What is the probability that randomly chosen individual from the town is either female or over 50 years in age?
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 Multiple Choice QuestionsShort Answer Type

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547. The probability that a person visiting a dentist will have his teeth cleaned is 0.44, the probability that he will have a cavity filled is 0.24. The probability that he will have his teeth cleaned or a cavity filled is 0.60. What is the probability that a person visiting his dentist will have his teeth cleaned and cavity filled?


Event A: the person will have teeth cleaned.
rightwards double arrow                  P(A) = 0.44
Event B: the person will have cavity filled.
rightwards double arrow                  P(B) = 0.24
P(the person will have teeth cleaned or cavity filled) = straight P space left parenthesis straight A union straight B right parenthesis space equals space 0.60
We have to find the probability of the person to have his teeth cleaned and cavity filled i.e., 
straight P left parenthesis straight A intersection straight B right parenthesis
Now,             straight P space left parenthesis straight A union straight B right parenthesis space equals space straight P left parenthesis straight A right parenthesis plus straight P left parenthesis straight B right parenthesis minus straight P left parenthesis straight A intersection straight B right parenthesis
rightwards double arrow                     0.60   = 0.44 + 0.24space space minus straight P left parenthesis straight A intersection straight B right parenthesis
Hence,        space space straight P thin space left parenthesis straight A intersection straight B right parenthesis space equals space 0.44 plus 0.24 minus 0.60 equals 0.08  
             

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548. A and B are two events of a mathematical experiment such that P(A or B) = 0.60 and P (A and B) = 0.12. Find P(not A) + P(not B)
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 Multiple Choice QuestionsLong Answer Type

549.

If A and B are two events such that straight P left parenthesis straight A right parenthesis equals 1 over 6 comma space straight P left parenthesis straight B right parenthesis equals 1 third space and space straight P space left parenthesis straight A space and space straight B right parenthesis space equals space 1 over 12 comma find
(a) P (A or B)                               (b) P (not A and not B)
(c) P (A and not B)                        (d) P (B and not A)

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 Multiple Choice QuestionsShort Answer Type

550.

If straight P left parenthesis straight A union straight B right parenthesis space equals space 0.85 comma space straight P left parenthesis straight A intersection straight B right parenthesis space equals space 0.35 comma space straight P left parenthesis straight A right parenthesis space equals space 0.7 comma space find space straight P left parenthesis straight B right parenthesis.

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