SOLUTION: A box contains six ham and four cheese sandwiches. Two sandwiches are randomly selected and eaten. What is the probability that both are ham sandwiches?

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Question 418984: A box contains six ham and four cheese sandwiches. Two sandwiches are randomly selected and eaten. What is the probability that both are ham sandwiches?
Found 2 solutions by stanbon, scott8148:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A box contains six ham and four cheese sandwiches. Two sandwiches are randomly selected and eaten. What is the probability that both are ham sandwiches?
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# of pairs of ham sandwiches: 6C2 = 15
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# of pairs of samdwiches: 10C2 = 45
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P(select 2 ham) = 15/45 = 1/3
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Cheers,
Stan H.
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Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
there are 10C2 ways to select 2 sandwiches

there are 6C2 ways to select 2 HAM sandwiches

so the probability of selecting two ham sandwiches is ___(6C2) / (10C2)