Probability & sets > Venn diagrams & advanced probability > 383 - Venn diagrams for 5
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© In a group of 36 pupils, 6 play the flute only.
6 play the piano only.
13 play neither instrument.
A student is selected at random.
What is the probability the student plays both instruments?
7
8
9
q
w
e

Step-by-step explanation:

Probability & sets > Venn diagrams & advanced probability > 383 - Venn diagrams for

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© In a group of 36 pupils, 6 play the flute only.

6 play the piano only.

13 play neither instrument.

A student is selected at random.

What is the probability the student plays both instruments?

7

8

9

q

w

e

ddsf

step-by-step explanation:

dfs

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6