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The following terms can be used to describe the probability that an event happens - Junior Cycle Mathematics - Question 7 - 2014

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The following terms can be used to describe the probability that an event happens. Likely Certain Unlikely Impossible 50 : 50 For each event in the tab... show full transcript

Worked Solution & Example Answer:The following terms can be used to describe the probability that an event happens - Junior Cycle Mathematics - Question 7 - 2014

Step 1

When a fair coin is tossed you get a head.

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Answer

The probability of getting a head when tossing a fair coin is equal to the probability of getting a tail, which is 50%. Therefore, the correct term to describe this event is 50 : 50.

Step 2

If you buy a lottery ticket for next Saturday's draw, you will win the jackpot.

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Answer

The likelihood of winning a lottery jackpot is typically very low. Hence, this event is best described as Unlikely.

Step 3

The 1st of January will be New Year’s Day.

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Answer

This event is certain as it is a widely recognized fact. Therefore, it is described as Certain.

Step 4

A: You pick a red ball from a bag containing 3 black and 7 red balls.

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Answer

There are 10 balls in total, of which 7 are red. Therefore, the probability of picking a red ball is P(A)=710=0.7P(A) = \frac{7}{10} = 0.7. This places event A in the range of 0.5 to 1.

Step 5

B: You get a natural number less than 7 when you roll a regular six-sided die.

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Answer

One can get the numbers 1, 2, 3, 4, 5, or 6, which are all less than 7. Hence, the probability is P(B)=66=1P(B) = \frac{6}{6} = 1. This is classified as 1.

Step 6

C: You pick a red card from a deck of playing cards.

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Answer

There are 52 cards in total, with 26 being red (hearts and diamonds). Thus, the probability is given by P(C)=2652=0.5P(C) = \frac{26}{52} = 0.5. So, event C falls in the range of 0.5.

Step 7

D: You pick a yellow ball from a bag containing 4 red balls and 2 white balls.

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Answer

There are 6 balls, and there are no yellow balls present, making the probability P(D)=0P(D) = 0. Hence, event D is classified as 0.

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