One of the ways contestants on a television game showcan win cash is by playing “Bucks-in-the-Box.” In thisgame the host offers the contestant 2 boxes that appear tobe identical. The contestant reaches into one of the boxesand draws out an envelope, winning the money inside it.While the contestant can’t tell which box is which, thecontents are quite different. One box has 5 envelopes;4 contain $100 and the other contains $1000. The otherbox has only 4 envelopes, with $100 in one of them and$1000 in each of the other 3.a) What is the probability that a Bucks-in-the-Boxcontestant will win $1000?b) If a contestant wins $1000, what’s the probability itwas the only $1000 envelope in that box?c) What are Bucks-in-the-Box contestants’ expectedwinnings?
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
One of the ways contestants on a television game show
can win cash is by playing “Bucks-in-the-Box.” In this
game the host offers the contestant 2 boxes that appear to
be identical. The contestant reaches into one of the boxes
and draws out an envelope, winning the money inside it.
While the contestant can’t tell which box is which, the
contents are quite different. One box has 5 envelopes;
4 contain $100 and the other contains $1000. The otherbox has only 4 envelopes, with $100 in one of them and
$1000 in each of the other 3.
a) What is the probability that a Bucks-in-the-Box
contestant will win $1000?
b) If a contestant wins $1000, what’s the probability it
was the only $1000 envelope in that box?
c) What are Bucks-in-the-Box contestants’ expected
winnings?
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