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Problem Solving (PS) | Re: A computer is programmed to play the game of 24 by independently repla

sgpk242 wrote:

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­A computer is programmed to play the game of 24 by independently replacing the symbols ▲ and @ in a given numerical expression with one of the operations +, -, x, or ÷ and then computing the result. If the result is 24, the computer "wins". The table above shows the probabilities with which the computer will replace the symbols ▲ and @ with the operations +, -, x, or ÷. What is the probability that the computer will win when given the expression (4▲2) x (3@1)?

A. 0.05
B. 0.24
C. 0.25
D. 0.30
E.0.33
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Because (4▲2) x (3@1) is a product of two factors, first of all, look for the product of two factors that give us 24.

1*24, 2*12, 3*8 and 4*6

Neither term can be made made more than 8 (= 4*2) hence ignore the first two products.

(4 * 2) x (3 * 1) = 8 * 3
(4 * 2) x (3 ÷ 1) = 8 * 3
(4 + 2) x (3 + 1) = 6 * 4

Probability of converting ▲ to x AND
...

Statistics : Posted by KarishmaB • on 12 Feb 2024, 21:51 • Replies 4 • Views 3405



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