Photo AI

Shirts in a clothes shop come in the following four sizes: Small (S) Medium (M) Large (L) Extra Large (XL) Kristina makes the following list, showing the size of each of the shirts in the shop - Junior Cycle Mathematics - Question 1 - 2016

Question icon

Question 1

Shirts-in-a-clothes-shop-come-in-the-following-four-sizes:-Small-(S)-Medium-(M)-Large-(L)-Extra-Large-(XL)--Kristina-makes-the-following-list,-showing-the-size-of-each-of-the-shirts-in-the-shop-Junior Cycle Mathematics-Question 1-2016.png

Shirts in a clothes shop come in the following four sizes: Small (S) Medium (M) Large (L) Extra Large (XL) Kristina makes the following list, showing the size of ea... show full transcript

Worked Solution & Example Answer:Shirts in a clothes shop come in the following four sizes: Small (S) Medium (M) Large (L) Extra Large (XL) Kristina makes the following list, showing the size of each of the shirts in the shop - Junior Cycle Mathematics - Question 1 - 2016

Step 1

Write down the total number of shirts in the shop.

96%

114 rated

Answer

To find the total number of shirts, we need to count each entry in Kristina's list. The list contains:

  • S: 5
  • M: 5
  • L: 3
  • XL: 1

Calculating the total:

Total = 5 + 5 + 3 + 1 = 18.

Step 2

Use Kristina's list to fill in the frequency table below.

99%

104 rated

Answer

The frequency for each shirt size is as follows:

Shirt sizeSMLXL
Frequency5531

Step 3

Find the probability that it is a large (L) shirt.

96%

101 rated

Answer

To find the probability of picking a large (L) shirt, we use the formula:

P(L)=Number of large shirtsTotal number of shirtsP(L)= \frac{\text{Number of large shirts}}{\text{Total number of shirts}}

Substituting the values:

P(L)=318=16P(L) = \frac{3}{18} = \frac{1}{6}

Step 4

Find the probability that it is a small (S) shirt.

98%

120 rated

Answer

After displaying one (L) shirt, the total number of remaining shirts is now 17. The number of small (S) shirts is still 5. Therefore:

P(S)=Number of small shirtsRemaining total number of shirtsP(S) = \frac{\text{Number of small shirts}}{\text{Remaining total number of shirts}}

Substituting the values:

P(S)=517P(S) = \frac{5}{17}

Join the Junior Cycle students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;