Question

You are wearing a pair of cargo pants with six pockets. You've put $10 in one of the pockets, but you cannot remember which one. After checking two pockets without success, what is the probability that the money will be in the next pocket you check? NextReset

Answer 1

The probability of success on the next one is 1/4 or 25%

The total number of ways left over is 4 for your next try
The number of pockets that will be successful is 1

Since there are 6 pockets all together. And you checked two of them and neither of them had the $10. so you cannot forget those 2 when figuring this out, and now there are 4 pockets left unchecked

Answer 2

The probability that the money will be in next pocket is 0.25.

We have a pair of cargo pants with six pockets and $10 in one of the pockets.

We have to find out the probability that the money will be in the next pocket you check after checking two pockets without success.

What is the formula to calculate the probability of an event ?

The formula to calculate the probability of an event is -

$P(A) = \frac{Total\;number\;of\;favorable\;outcomes}{Total\;number\;of\;outcomes\;in \;sample\; space} =\frac{n(A)}{n(S)}$

In the question it is given -

Total  money = $10

Total no. of pockets = 6 = n(S)

After two unsuccessful check in two pockets, new sample space =

n(S') = n(S) - 2 = 4

Hence, the probability that the money will be in the next pocket you check is -

P(A) = $\frac{1}{4} = 0.25$

Hence, the probability that the money will be in next pocket will be  0.25.

To solve more questions on probability, visit the link below -

brainly.com/question/743546

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