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If 9 different items are selected from 43 possible items on a list, find the probability of picking 9 items in the same order as selected by a computer ?

5.64 E8
2.05 E14
0.00258
387
none of the other

User Kevin Yang
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1 Answer

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Final answer:

To find the probability of choosing 9 items in the same order as a computer from 43 items, you calculate the product of individual probabilities of selection for each item, starting with 1/43 and ending with 1/35.

Step-by-step explanation:

The probability of picking 9 items in the same order as selected by a computer from 43 different items can be found by calculating the probabilities of each selection sequentially. Since the items are distinct, the first item has a 1 in 43 chance of being chosen. Once the first item is selected, the second item has a 1 in 42 chance, because there are only 42 items remaining, and so on. The probability of each selection is thus 1/43 × 1/42 × ... × 1/35. This gives us a total probability of picking the 9 items in the precise order the computer selected, which is the product of all these individual probabilities.

User Lefteris Xris
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