Question

What is the probability that a randomly selected candle is orange scented?

Story: A factory produces 8000 candles each day. They produce equal quantities of cherry, lemon, orange and strawberry. The candles are mixed together during packaging.

Answer 1

The probability that a randomly selected candle is orange scented is 0.25

Solution-

The total number of candles produced by the company = 8000

They produce equal quantities of cherry, lemon, orange and strawberry

So, number of each candles produced in a day is,

`=\frac{\text{Total candles produced}}{4}`

`=(8000)/(4)\\\\=2000`

As the candles are evenly mixed, so

`P{(\text{orange candle})}=\frac{\text{number of orange candle}}{\text{total number of candle}}\\\\=(2000)/(8000)\\\\=(1)/(4)=0.25=25\%`

Therefore, the probability that a randomly selected candle is orange scented is 0.25