Question

A sporting goods store sells two types of bicycles, in two colors. The tableshows its sales over the last year.SilverBlackTotalRoad bike6644110Mountain bike543690Total12080200Are buying a road bike and buying a silver bike independent events?

Answer 1

From table the total number of road bike is 110 and the total number of bikes is 200

Thus the probability of buying a road bike is:

`P(road\text{ }bike)=(110)/(200)=0.55`

From the table the the total number of road bikes that are silver is 66 and the total number of silver bikes is 120

Thus it follows:

`P(road\text{ }bike|silver\text{ }bike)=(66)/(120)=0.55`

Since the probabilities are the same then:

The correct option is A