Page 194 - Engineering Mathematics Workbook_Final

Probability & Statistics
( (
))


:
Also, E P A B ) ( / A B and 187. If A and B are two independent
1
events such that P(A) = 1/2, P(B) =
 (
 (


E 2 : P A B or B  A ) ( / A B )) 1/5, then
P
) 1/2
. Then which of the following is / are (a) ( / A B =
true?
 A  5
(a) A and B are independent (b) P       =

 A B  6
(b) P(A/B) < P(B/A)
 A B 

(c) P      = 0
(c) E and E are equiprobable  ' A B '  

1
2
(
(d) ( /P A A B )) = P ( B ( / A B )) (d) None of these
185. Two numbers are chosen from {1, 2, 188. If A and B are two independent
(

3, 4, 5, 6, 7, 8} one after another events such that P A B = ) 2/15
without replacement. Then the ( )

probability that and P A B = 1/6, then P(B) is
(a) the smaller value of two is less (a) 1/5 (b) 1/6

than 3 is 13/28
(c) 4/5 (d) 5/6
(b) the bigger value of two is more
than 5 is 9/14 189. The probability that a 50-year-old
man will be alive at 60 is 0.83 and the
(c) product of two number is even is probability that a 45 year old

11/14 woman will be alive at 55 is 0.87.
then
(d) none of these
(a) the probability that both will be
186. P(A) = 3/8; P(B) = 1/2; alive is 0.7221


P ( A B = ) 5/8, which of the
following do / does hold good? (b) at least one of them will alive is
0.9779
) 2P A B
P
(a) ( A C / B = ( / C )
(c) at least one of them will alive is
)
(b) ( ) = P ( / A B 0.8230
P B
(d) the probability that both will be
(
(c) 15P A C / B C ) 8P= ( /B A C ) alive is 0.6320

(d) ( /P A B C ) ( A B=  )

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