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The net below is folded to make a fair die - Junior Cycle Mathematics - Question 8 - 2019

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The net below is folded to make a fair die. What number will be opposite the number 7 on the die? Answer: The die is rolled once. Find the probability that the n... show full transcript

Worked Solution & Example Answer:The net below is folded to make a fair die - Junior Cycle Mathematics - Question 8 - 2019

Step 1

What number will be opposite the number 7 on the die?

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Answer

In a standard six-sided die, the numbers on opposite sides add up to 7. Therefore, the number opposite to 7 is 1.

Step 2

The die is rolled once. Find the probability that the number rolled is greater than 6.

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Answer

A standard die has six faces numbered from 1 to 6. The only numbers greater than 6 would be 7 or above, which don’t exist on a standard die. Therefore, the probability is P(X>6)=0P(X > 6) = 0.

Step 3

The die is rolled 60 times. Work out how many times you would expect an odd number to be rolled.

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Answer

A standard die has three odd numbers: 1, 3, and 5. The probability of rolling an odd number is P(odd)=36=12P(odd) = \frac{3}{6} = \frac{1}{2}. If the die is rolled 60 times, the expected number of times an odd number would be rolled is:
12×60=30\frac{1}{2} \times 60 = 30

Step 4

Write each of these terms in the table below to match each term to its description.

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Answer

DescriptionTerm
The set of all the possible outcomes of an experiment.Sample Space
One possible result of an experiment.Outcome
A subset of the sample space – a collection of one or more outcomes.Event

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