In a group of 20 pupils, 2 play the flute only.
2 play the piano only.
14 play both instruments.
A student is chosen at random.
What is the probability the student plays neither instrument?

Respuesta :

Answer:

there is a 20% probability that the chosen student plays neither

Step-by-step explanation:

14+2+2=16

20-16=4

4/20= 1/5

1/5= 0.2

0.2= 20%

The probability the student plays neither instrument is 10%.

What is Probability?

Probability is the measure of the likeliness of an event to happen.

The probability has a range from 0 to 1, 0 denotes uncertainty and 1 indicates certainty.

The group consists of 20 pupils

The people who only play flute is 2.

The people who only play piano is 2.

The people who play both the instrument is 14.

The people who do not play either of the instrument is,

= 20 - ( 2 + 2 +14)

= 20 - 18

= 2

The probability =  No. of favourable outcomes/ Total outcomes

Probability ( Neither of the instrument) = 2 /20

Probability ( Neither of the instrument)  = 0.1

Probability ( Neither of the instrument) = 10%

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