If the probability that Valerie gets to work on time is

Question

If the probability that Valerie gets to work on time is higher when she takes the train than when she drives, is the probability that Valerie gets to work on time when she bicycles greater than 0.5 ?

 (1) The probability that Valerie gets to work on time when she bicycles is more than half the probability that she gets to work on time when she drives.

 (2) The probability that Valerie gets to work on time when she bicycles is two-thirds the probability that she gets to work on time when she takes the train.

UMB · Answer

for me also E.

if on Train ----- 0.9
Drive-----------0.89 then Bicycle--------YES

But
Train------- 0.2
Drive ------ 0.10 then Bicycle-------NO

Caas · Answer

I don't know the OA, sorry Taking (1) and (2) together I came to the system: x>(3/4)*y x>y 0

sumande · Answer

You're right...we cannot resolve it, and, hence, the answer should be E.

AugiTh · Answer

I go in for 'A'

From question

P(t) >p(d)
Is P(b) > 0.5

Statement1
P(b) > 0.5 * P(d)

For P(b) > 0.5 (as per question), P(d) must be greater than 1 but this cannot be. (Probability always less than or equal to 1) 
Hence P(b) is not greater than 1/2

Statement2
P(b) = 2/3 P(t)
as it is: insuff!!!!

If the probability that Valerie gets to work on time is

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