Ask a Question

Probability that A speaks truth is `4/5`. A coin is tossed. A reports that a head appears. The probability that actually there was head is(A) `4/5` (B

in Education by
Probability that A speaks truth is `4/5`. A coin is tossed. A reports that a head appears. The probability that actually there was head is(A) `4/5` (B)`1/2` (C) `1/5` (D) `2/5` Select the correct answer from above options

1 Answer

0 votes
by
 
Best answer
Probablity of A speaking truth `P(Tr)= 4/5` Probablity of A speaking lie`P(L)= 1-4/5 = 1/5` Probablity of appearing head `P(H) = 1/2` Probablity of appearing tail`P(T) = 1/2` Probablity of A reporting truth when head appears, `P(Tr/H) = (P(Tr)P(H))/(P(Tr)P(H)+P(L)P(H)` `=(4/5**1/2)/((4/5**1/2)+(1/5**1/2))` `=(2/5)/(2/5+1/10) =4/5`

Related questions

0 votes
Q: A coin is tossed three times, if head occurs on first two tosses, find the probability of getting head on third toss.
    A coin is tossed three times, if head occurs on first two tosses, find the probability of getting head on third toss. Select the correct answer from above options...
asked Nov 13, 2021 in Education by JackTerrance
0 votes
Q: A coin is tossed 4 times. Let X denote the number of heads. Find the probability distribution of X. Also, find the mean and variance of X.
    A coin is tossed 4 times. Let X denote the number of heads. Find the probability distribution of X. Also, find ... and variance of X. Select the correct answer from above options...
asked Nov 13, 2021 in Education by JackTerrance
0 votes
Q: The minimum number of times a fair coin needs to be tossed, so that the probability of getting at least two heads is at least 0.96 is :
    The minimum number of times a fair coin needs to be tossed, so that the probability of getting at least two heads is at least 0.96 is : Select the correct answer from above options...
asked Nov 13, 2021 in Education by JackTerrance

© Copyright 2018-2023 www.Blogmepost.com. All rights reserved. Developed by Blogmepost.

...