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Barry has one of each coin in the euro currency in his pocket - Junior Cycle Mathematics - Question 2 - 2018

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Barry has one of each coin in the euro currency in his pocket. He puts his hand in his pocket and picks one coin at random. (a) Fill in the table below to show the ... show full transcript

Worked Solution & Example Answer:Barry has one of each coin in the euro currency in his pocket - Junior Cycle Mathematics - Question 2 - 2018

Step 1

P Barry picks a €2 coin.

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Answer

There is 1 €2 coin out of a total of 8 coins. Therefore, the probability is: P(P)=18=0.125P(P) = \frac{1}{8} = 0.125.

Step 2

S Barry picks a coin worth less than 50 cent.

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Answer

The coins worth less than 50 cent are the 1 cent, 2 cent, and 5 cent coins, totaling 3 coins. So, the probability is: P(S)=38=0.625P(S) = \frac{3}{8} = 0.625.

Step 3

T Barry picks a €3 coin.

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Answer

Since there are no €3 coins in Barry's pocket, the probability is: P(T)=08=0P(T) = \frac{0}{8} = 0.

Step 4

Write each of the letters P, S, and T in the correct place on the probability scale.

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Answer

On the probability scale:

  • P would be at 0.125
  • S would be at 0.625
  • T would be at 0.

Step 5

Which coins does Barry use?

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Answer

To pay for a €1.75 ticket, Barry can use the following coins:

  • €1 coin
  • 50 cent coin
  • 20 cent coin
  • 5 cent coin. Thus, he uses: €1 + 50c + 20c + 5c = €1.75.

Step 6

How much money will Barry have left after paying for his ticket?

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Answer

Barry started with the following coins: €2 + 1 + 0.50 + 0.20 + 0.10 + 0.05 = €3.85. After paying €1.75, he will have: 3.851.75=2.10€3.85 - €1.75 = €2.10.

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