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?

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 pur class=

Respuesta :

Answer:  [tex]\bold{a.\quad \dfrac{1}{4}}[/tex]

Step-by-step 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:

[tex]P=\dfrac{\text{number of green 4's}}{\text{total number of 4's}}=\dfrac{1}{4}[/tex]

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

[tex]P=\dfrac{\text{number of 4's}}{\text{total number of numbers}}\times \dfrac{\text{number of greens}}{\text{total number of colors}}\\\\\\.\ =\dfrac{4}{40}\times\dfrac{1}{4}\\\\\\.\ =\dfrac{1}{40}[/tex]