Question

Steve has three quarters, three nickels and three pennies. If Steve selects three coins at random and without replacement, what is the probability that the total value is exactly cents

Answer 1

0.1071428571428571 is the probability that the total value is exactly 35 cents.

What is probability ?

• Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.
• We can predict only the chance of an event to occur i.e. how likely they are to happen, using it.

The only way you can get 35 cents is with 1 quarter and 2 nickels     (talk about funny money)

There are 3 ways to pick up a quarter  3C1

and there are 3 ways you can pick up 2 nickels   3C2

So there are  3*3=9 ways to choose 1 quarters and 2 nickels.   That is 9 favourable outcomes :)

Now, there are  9C3=84  ways to choose 3 coins from 9  SO

The probability of picking up 35c is    

                   $\frac{9}{84} = \frac{3}{28} = 0.1071428571428571$

Learn more about probability

brainly.com/question/1327345

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The complete question is -

Steve has three quarters, three nickels and three pennies. If Steve selects three coins at random and without replacement, what is the probability that the total value is exactly 35 cents?