# Becky has 30 t shirts in a drawer: 12 Concert shirt 8 team shirts and 10 plain shirt. Of the 10 shirts she randomly selects to give to charity 3 are concert shirts.How does this frequency compare to the expected from what’s the frequency based on the probability of randomly selecting a concert shirt.

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## Question:

Becky has 30 t shirts in a drawer: 12 Concert shirt 8 team shirts and 10 plain shirt. Of the 10 shirts she randomly selects to give to charity 3 are concert shirts.How does this frequency compare to the expected from what’s the frequency based on the probability of randomly selecting a concert shirt.

A. The frequency is 1 fewer than expected
B. The frequency is 9 fewer than expected
C. The frequency is 2 more than expected
D. The frequency is the same as expected

You can use the fact when random picking of t shirts happen, the probability of picking the Concert shirt can be taken by number of concert t shirts in total number of shirt since there is no bias towards a particular t shirt except their frequency.

The frequency of  concert shirts obtained out of selected shirts compare to the expected frequency of the concert shirt as:

Option A: The frequency is 1 fewer that expected.

### How to get the expected frequency of the object from the whole group?

Suppose there are 100 fruits and 50 of them are apples and 50 other are mangoes. Then we can say that each one of the two fruit is apple and other one is mango. This 1 apple per 2 fruit is telling frequency of apples in selected 2 fruits.

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Frequency is number of amount that item is present in the selected group.

The expected frequency can be obtained by seeing how many such objects are available to how many total objects.

You can think of expected frequency as how many of the considered object we expect to be present in the total amount of objects.

Thus, we have:
Expected frequency for concert shirt is 12 per 30 shirts or 4 per 10( i divided by 3) shirts or 2 per 5 shirts ( divided by 2). You can convert this to percent or probability too or ratio too like

2:5 = 2/5 = 0.4 = 40% (all four represent how many of the concert shirts are expected to be present out of amount of total shirts selected).

The frequency obtained from the selection contains 3 concert shirts out  of 10 selected shirts.

Since the expected frequency of the concert shirts per 10 shirts selected is 4, and the frequency we obtained is 3, thus. the frequency obtained is 1 fewer than the expected.

Thus,

Option A: The frequency obtained is 1 fewer than expected.