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A coin is tossed thrice and all eight ou...

A coin is tossed thrice and all eight outcomes are assumed equally likely. In which of the following cases are the events A and B independent? A: "the first throw results in head" B:"the last throw results in tail"

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A coin is tossed thrice and all eight outcomes are assumed equally likely. In which of the following cases are the events A and B independent? A: " the number of heads is two" B:"the last throw results in head"

A coin is tossed thrice and all the eight outcomes are assumed to be equally likely. In which of the following cases are the events E_1 and E_2 independent? E_1 : 'the number of heads is odd E_2 : 'the number of tail is odd'.

One card is drawn from a pack of 52 cards to that each card is equally likely to be selected. In which of the following cases are the events E_1 and E_2 independent? E_1 : 'the card drawn is red' E_2 : 'the card drawn is a jack'.

One card is drawn from a pack of 52 cards to that each card is equally likely to be selected. In which of the following cases are the events E_1 and E_2 independent? E_1 : 'the card drawn is a diamond' E_2 :'the card drawn is a queen'.

One card is drawn from a pack of 52 cards so that each card is equally likely to be selected. Prove that the following cases are independent: A: " The card drawn is a spade" B:" the card drawn is an ace".

One card is drawn from a pack of 52 cards so that each card is equally likely to be selected. Prove that the following cases are independent: A:"the card drawn is black" B:" the card drawn is a king"

A coin is tossed once. If the shows head, it is tossed again and if it shows tail, then a dice is tossed. Let E_1 be the event with first toss results into a tail and E_2 , the event: the dice shows a number greater than 4. find P(E_2//E_1) .

A coin is tossed thrice. If event E denotes the ‘number of heads is odd’ and event F denotes the ‘number of tails is odd’, then find the cases favourable to the event E nn F .

MODERN PUBLICATION-PROBABILITY-EXERCISE
  1. Let A and B be two independent events such that: P(A)=1/4, P(B)=1/2, f...

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  2. Let A and B be two independent events such that: P(A)=1/4, P(B)=1/2, f...

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  3. A coin is tossed thrice and all eight outcomes are assumed equally lik...

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  4. A coin is tossed thrice and all eight outcomes are assumed equally lik...

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  5. A die is thrown. If E is the event ‘the number appearing is a multiple...

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  6. One card is drawn at random from a pack of well shuffled deck of 52 ca...

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  7. One card is drawn at random from a well shuffled deck of 52 cards. In ...

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  8. One card is drawn at random from a well shuffled deck of 52 cards. In ...

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  9. The odds in favour of an event are 3:4. Find the probability of : occu...

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  10. The odds in favour of an event are 3:4. Find the probability of : non-...

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  11. Two cards are drawn at random and without replacement from a pack of 5...

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  12. The probability of student A passing an examination is 3/7 and of stud...

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  13. The probability of student A passing an examination is 3/7 and of stud...

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  14. Given that the two numbers appearing on throwing two dice are differen...

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  15. A box of oranges is inspected by examining three randomly selected ora...

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  16. A die is thrown. If E is the event ‘the number appearing is a multiple...

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  17. Two balls are drawn at random with replacement from a box containing 1...

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  18. Two balls are drawn at random with replacement from a box containing 1...

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  19. Two balls are drawn at random with replacement from a box containing 1...

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  20. An urn contains 10 black and 5 white balls. Two balls are drawn from t...

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