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

Since the factory produces equal numbers of 4 types of candles, we can find the number of candles it produces of any given type:

`\frac{8000 \,\textrm{candles}}{4 \,\textrm{types}} = 2000 \,\frac{\textrm{candles}}{\textrm{type}}`

We have found that the factory produces 2000 candles of each type. Since the probability of something happening is the number of favored outcomes divided by the number of total outcomes, we can find the probability of an orange scented candle being chosen are:

`P(\textrm{orange scented}) = (2000)/(8000) = \boxed{(1)/(4)}`

The answer is 1/4.