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Let A be the set of months of the year - Junior Cycle Mathematics - Question 4 - 2012

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Let A be the set of months of the year. List the elements of A. What is the probability that a month chosen at random from set A begins with the letter J?

Worked Solution & Example Answer:Let A be the set of months of the year - Junior Cycle Mathematics - Question 4 - 2012

Step 1

List the elements of A.

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Answer

The set A consists of the following elements:

  • Jan
  • Feb
  • March
  • April
  • May
  • June
  • July
  • August
  • Sept
  • Oct
  • Nov
  • Dec

Step 2

What is the probability that a month chosen at random from set A begins with the letter J?

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Answer

To calculate the probability, we first determine the total number of months in set A, which is 12.

Next, we identify the months that begin with the letter J. The months are:

  • Jan
  • June

There are 2 months that start with J. Therefore, the probability P(J) can be calculated as follows:

P(J)=Number of favorable outcomesTotal outcomes=212=16P(J) = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} = \frac{2}{12} = \frac{1}{6}

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