The net below is folded to make a fair die - Junior Cycle Mathematics - Question 8 - 2019
Question 8
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)=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)=63=21. If the die is rolled 60 times, the expected number of times an odd number would be rolled is: 21×60=30
Step 4
Write each of these terms in the table below to match each term to its description.
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Answer
Description
Term
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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