Combinations and probabilities with and without replacement
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#52
The first card selected from a standard 52-card deck was a king.
If it is returned to the deck, what is the probability that a king will be drawn on the second selection?
If the king is not replaced, what is the probability that a king will be drawn on the second selection?
What is the probability that a king will be selected on the first draw from the deck and another king on the second draw (assuming that the first king was not replaced)?
#82
A case of 24 cans contains 1 can that is contaminated. Three cans are to be chosen randomly for testing.
A. How many different combinations of 3 cans could be selected?
B. What is the probability that the contaminated can is selected for testing?
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Solution Summary
The solution calculates probabilities of selection of cans and cards based on replacement and combinations.
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Please see the attached file.
Please show steps to how you arrived at the answers. Please solve in word format I do not have excel. Thanks
#52
The first card selected from a standard 52-card deck was a king.
If it is returned to the deck, what is the probability that a king will be drawn on the second selection?
Solution:
There are 4 kings.
So, the number of favourable outcome is 4.
The total number of possible outcome is 52.
The probability of getting a king = The number of favourable out comes
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Total number of possible ...
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