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S seema garhwal
If    and then                   Also,  We know that                                                                   Hence, we can see option C is correct.

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S seema garhwal
Let   A : A speaks truth         B : A  speaks false X : Event that head appears. A coin is tossed , outcomes are head or tail. Probability of getting head whether A speaks thruth or not is  The probability that actually there was head is  Hence, option A is correct.

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S seema garhwal
Let   A : Event of choosing a diamond card.         B :  Event of not choosing a diamond card. X : The lost card. If lost card is diamond then 12 diamond cards are left out of 51 cards. Two diamond cards are drawn out of 12 diamond cards in  ways. Similarly, two cards are drawn out of 51 cards in  ways. Probablity of getting two diamond cards when one diamond is lost :                       ...

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S seema garhwal
Let A: time consumed by machine A         B: time consumed by machine B        C: time consumed by machine C         Total drivers = 12000   D: Event of producing defective items       Hence, the probability that defective item was produced by  =                                                                                                    

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S seema garhwal
Let, A: Outcome on die is 5 or 6.        B: Outcome on die is 1,2,3,4 X: Event of getting exactly one head. Probability of  getting exactly one head when she tosses a coin three times :  Probability of  getting exactly one head when she tosses a coin one time :   Hence, the probability that she threw  or with the die =                                                                     ...

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S seema garhwal
A: the first groups will win B:  the second groups will win X: Event of introducing a new product. Probability of introducing a new product if the first group wins :  Probability of introducing a new product if the second group wins :  Hence,  the probability that the new product introduced was by the second group :                                                                       ...

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S seema garhwal
A  : Items produced by machine A  B : Items produced by machine B X : Produced item found to be defective. Hence, the probability that defective item was produced by machine  =                                                                                                                          .    

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S seema garhwal
Let  A : scooter drivers = 2000        B : car drivers = 4000        C : truck drivers = 6000        Total drivers = 12000   D : the event that person meets with an accident.     

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S seema garhwal
Given :   A :  chossing a two headed coin               B :  chossing a biased coin               C : chossing a unbiased coin               D : event that coin tossed show head.                Biased coin that comes up heads of the time.              

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S seema garhwal
BAG 1 : Red balls =4        Black balls=4     Total balls = 8                                                                                                           BAG 2 : Red balls = 2       Black balls = 6     Total balls = 8                                                                               B1 : selecting bag 1 B2 : selecting bag 2 Let R be a event of getting red...

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S seema garhwal
Black balls = 5 Red balls = 5 Total balls = 10 CASE 1  Let red ball be drawn in  first attempt. Now two red balls are added in urn . Now  red balls = 7, black balls = 5 Total balls = 12 CASE 2  Let black ball be drawn in  first attempt. Now two black balls are added in urn . Now  red balls = 5, black balls = 7 Total balls = 12 the probability that the second ball is red =
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