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A coin is tossed twice .Events E and F a...

A coin is tossed twice .Events E and F are defined as follows
E=Head on the first toss
F=Head on the second toss
Find (i)`P(EcapF)`(ii)`P((barE)/(F))`
(iii)Are the events E and F independent?

Text Solution

Verified by Experts

The correct Answer is:
(i)`(1)/(4)`
(ii)`(1)/(2)`
(iii)`(1)/(4)`
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PREMIERS PUBLISHERS-INTRODUCTION TO PROBABILITY THEORY-PROBLEMS FOR PRACTICE (Choose the correct option for the following)
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  5. The probability two events A and B are 0.2 and 0.5 respectively. The p...

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  8. An urn contains 5 red and 5 black balls. A ball is drawn at random, it...

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  10. Six coins are tossed simultaneously. Then the probability of getting a...

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  11. If for two events A and B, p(a)=(2)/(5) and P(b)=(3)/(4) and A cupB=S(...

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  13. Find the incorrect statement:

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  17. The following are the probability of an event A. Find odd man out

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  18. Find the incorrect statement:

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  19. In a factory two machines A and B produce equal amount of output. On t...

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  20. Let A and B are two events such that P(bar(AcupB))=(1)/(6),P(AcapB)=(1...

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  21. When a pair of balanced dice are rolled .What are the probability of ...

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