probability question

A car hire firm owns 90 cars, 40 of which are based at Falmouth and the other 50 at Tiverton. If two of the 90 cars are selected at random (without replacement) find the probability that

a) both are based at Falmouth
b) one is based at falmouth and the other at tiverton

thanks

Reply 1

stratomaster

OP

Thanks.
The answers are given as a) 0.195 and b) 0.499

Are these the same as those fractions? i cant work it out

Reply 2

Libertine

8

stratomaster

Thanks.
The answers are given as a) 0.195 and b) 0.499

Are these the same as those fractions? i cant work it out

Yes, they're rounded decimals of the fractions. Can't you do the divisions on a calculator?

Reply 3

stratomaster

OP

Thanks i've figured out how to do it now you showed me. :smile:

Reply 4

stratomaster

OP

Right sorry, I can do these but i've got a crazy question here

A small firm employs two sales representatives, six administrative staff and four others.
If three of the 12 staff are selected at random without replacement find the probability that they:

iii) Include exactly one sales representative.

Now, I end up with 3/10 which is 0.30 but the answer is actually 0.409

Reply 5

stratomaster

OP

stratomaster

Right sorry, I can do these but i've got a crazy question here

A small firm employs two sales representatives, six administrative staff and four others.
If three of the 12 staff are selected at random without replacement find the probability that they:

iii) Include exactly one sales representative.

Now, I end up with 3/10 which is 0.30 but the answer is actually 0.409

i take it this Q is impossible i get 0.408

Reply 6

Libertine

8

P(sales rep, other, other) = 2/12*10/11*9/11 = 0.136...

And there are three ways of doing it, so multiply it by 3
0.136*3 = 0.409...

probability question

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