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 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 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.
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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.
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Answer
The frequency for each shirt size is as follows:
Shirt size
S
M
L
XL
Frequency
5
5
3
1
Step 3
Find the probability that it is a large (L) shirt.
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Answer
To find the probability of picking a large (L) shirt, we use the formula:
P(L)=Total number of shirtsNumber of large shirts
Substituting the values:
P(L)=183=61
Step 4
Find the probability that it is a small (S) shirt.
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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)=Remaining total number of shirtsNumber of small shirts
Substituting the values:
P(S)=175
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