Re: algebra


"Stratocaster" <stotz1@xxxxxxxxxxx> wrote in message
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"brook" <cameronholbrook123@xxxxxxxxx> wrote in message
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there are 53 pairs of shoes of which 24 are new, 21 are heels and 16 are
white. If there are 3 worn, white heels, what is the probability of
choosing
a new or white pair of shoes? (shoes are in pairs, not single)

I do not think there is enough information given to allow calculation of a
precise value. However, a bounded probability is certainly obtainable in
this case.

**********************
I flubbed here in the beginning:

P[white /\ new] = P[white]+P[new]-P[white /\ new]

I had meant:

P[white \/ new] = P[white]+P[new]-P[white /\ new]
....likewise later on:
***********************

Of course, the problem is determining how many pairs of shoes are white
and
new. I also forsee problems calculating how many shoes are new and heels.

We know that
Qty[white /\ new] + Qty[new /\ heel] = 5

Therefore we can suggest that:
0<=Qty[white /\ new]<=5

In which case

************
I did it again here:
************
(35/53)<= P[white \/ new] <= (40/53)
.66 <= p <= .75




.

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