Question

A bag contains 10 green , 10 orange, 10 pink , and 10 purple chips each numbered 1 through 10. a chip is chosen at random.

What is the probability that the chip is purple, given that the card is a 4?

Answer 1

Answer:
`\bold{a.\quad (1)/(4)}`

Explanation:

Since it is already given that the number is a 4 and each of the four colors only has one 4, then the probability for green is:

`P=\frac{\text{number of green 4's}}{\text{total number of 4's}}=(1)/(4)`

If you wanted to find the probability that it is a four and it is green then you would calculate the probability as:

`P=\frac{\text{number of 4's}}{\text{total number of numbers}}* \frac{\text{number of greens}}{\text{total number of colors}}\\\\\\.\ =(4)/(40)*(1)/(4)\\\\\\.\ =(1)/(40)`