A sorcerer has hidden an M&M; in one of an infinite row of boxes. You need to fi

Question

A sorcerer has hidden an M&M; in one of an infinite row of boxes. You need to find it as quickly as possible. As a matter of fact, you only have time to look in 11 boxes. The sorcerer says that he will give you a hint, by tossing a coin 100 times, and counting the number of heads, all in a flash. He will then tell you the sum of the number that the box is in, and the number of heads that he got out of 100 tosses. If the sum is 75, you decide to look in boxes 20 through 30. What is the chance that you will locate the M&M;? Choose the closest answer 68% 73% 70%

Explanation / Answer

A sorcerer has hidden an M & M in one of an infinite row of boxes.to find this we look 11 boxes.

probability of selection of these box =p1 = 20/30 = 0.67

There is equal chance to found M & M from 100 boxes therefore p2 = 1/100 = 0.01

Therefore probability of locating M $ M = p1 +p2 -(p1 & p2)

= 0.67 + 0.01 - 0 p1 is independent of p2

= 0.68

Chance that locating M & M is 68%   

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