Question

As a prize for winning a contest, the contestant is blindfolded and allowed to draw 3 dollar bills one at a time out of an urn. The urn contains forty $1 bills and ten $100 bills. The urn is churned before each selection so that the selection would be at random. What is the probability that none of the $100 bills are selected

Answer 1

Answer:

The probability that none of the $100 bills are selected is 79.6%.

Step-by-step explanation:

The urn contains forty $1 bills and ten $100 bills.  This gives a total of 50 bills in the urn.

To draw 3 dollar bills one at a time out of an urn, the probability of not selecting a $100 bill, decreases with each selection.

And the probability of not selecting a $100 bill is the probability of selecting a $1 bill in the first selection  = 80% (40/50 x 100).

The probability of selecting a $1 bill the second time = 79.6% (39/49).

The probability of selecting a $1 bill the third time = 79.2% (38/48).

The sum of the probabilities divided by 3 = 79.6% (238.8/3)

b) Probability arises when there is a chance that an event may occur from a set of events that could have occurred. It is based on an estimate that one event happens when all the events in the set are given no less equal chance.