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A speaks truth in 605 cases and B speaks...

A speaks truth in 605 cases and `B` speaks truth in 70% cases. The probability that they will say the same thing while describing a single event is `2//19` b. `3//29` c. `17//19` d. `4//29`

A

`0.56`

B

`0.54`

C

`0.38`

D

`0.94`

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The correct Answer is:
To find the probability that A and B will say the same thing while describing a single event, we can break down the problem step by step. ### Step 1: Define the probabilities Let: - \( P(A) \) = Probability that A speaks the truth = 60% = 0.6 - \( P(B) \) = Probability that B speaks the truth = 70% = 0.7

To find the probability that A and B will say the same thing while describing a single event, we can break down the problem step by step. ### Step 1: Define the probabilities Let: - \( P(A) \) = Probability that A speaks the truth = 60% = 0.6 - \( P(B) \) = Probability that B speaks the truth = 70% = 0.7
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CENGAGE ENGLISH-PROBABILITY II-EXERCISE
  1. If Aa n dB each toss three coins. The probability that both get the sa...

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  2. A fair coin is tossed 100 times. The probability of getting tails 1, 3...

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  3. A fair die is thrown 20 times. The probability that on the 10th thr...

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  4. A speaks truth in 605 cases and B speaks truth in 70% cases. The proba...

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  5. The probability that a teacher will give an unannounced test during an...

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  6. There are two urns Aa n dB . Urn A contains 5 red, 3 blue and 2 white ...

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  7. A bag contains 20 coins. If the probability that bag contains exactly ...

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  8. A bag contains 3 red and 3 green balls and a person draws out 3 at ...

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  9. A bag contains 20 coins. If the probability that the bag contains e...

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  10. An urn contains three red balls and n white balls. Mr. A draws two bal...

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  11. A student can solve 2 out of 4 problems of mathematics, 3 out of 5 ...

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  12. An event X can take place in conjuction with any one of the mutually e...

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  13. An artillery target may be either at point I with probability 8/9 or a...

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  14. A bag contains some white and some black balls, all combinations of ...

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  15. A letter is known to have come either from LONDON or CLIFTON. On the ...

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  16. A doctor is called to see a sick child. The doctor knows (prior to the...

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  17. On a Saturday night, 20%of all drivers in U.S.A. are under the infl...

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  18. A purse contains 2 six-sided dice. One is normal fair die, while the o...

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  19. There are 3 bags which are known to contain 2 white and 3 black, 4 ...

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  20. A hat contains a number of cards with 30% white on both sides, 50% ...

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