Question 127695: I need help! Please provide a clear solution! Thank you so much!! :)
A driver approaching a toll booth has exactly two quarters, two dimes and two nickels in his pocket. He reaches into his pocket and randomly selects two of these coins. What is the probability that the coins that he selects will be at least enough to pay the 30-cent toll?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A driver approaching a toll booth has exactly two quarters, two dimes and two nickels in his pocket. He reaches into his pocket and randomly selects two of these coins. What is the probability that the coins that he selects will be at least enough to pay the 30-cent toll?
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List the possible coin pairs:
There are 6 coins, so there are 6C2= 15 pairs to list.
Determine the value for each pair.
Count the number of pairs whose value is at least 30-cents;
let that number be x.
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Final Answer: Probability you want = x/15
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Note: To see all the combinations you have to consider you a
blue quarter and a red quarter, a blue dime and a red dime, a blue nickel
and a red nickel. Otherwise you will get confused in making the list.
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Cheers,
StanH.
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