When Maeve's team play a match, they can win (W), draw (D), or lose (L) - Junior Cycle Mathematics - Question 2 - 2022

To find the probability of winning at least one match, we can first calculate the total number of outcomes, which is 9. The outcomes where Maeve's team does not win any matches are LL (losing both matches). There is only 1 such outcome.

Thus, the favorable outcomes for winning at least one match are:

• WW
• WD
• WL
• DW
• DD
• DL
• LW
• LD

This gives us 8 favorable outcomes. Therefore, the probability is:

$P = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} = \frac{8}{9}$

To calculate the total number of possible outcomes for 5 matches where each match can result in a win (W), draw (D), or lose (L), we can use the formula:

$\text{Total Outcomes} = 3^5$

Calculating this:

$3^5 = 243$

Thus, the total number of different possible outcomes for Maeve's team is 243.