Kurt, a painter, has 9 jars of paint:
4 are yellow
2 are red
rest are brown
Kurt will combine 3 jars of paint into a new container to make a new color, which he will name accordingly to the following conditions:

Brun Y if the paint contains 2 jars of brown paint and no yellow
Brun X if the paint contains 3 jars of brown paint
Jaune X if the paint contains at least 2 jars of yellow
Jaune Y if the paint contains exactly 1 jar of yellow

What is the probability that the new color will be Jaune

a) 5/42
b) 37/42
c) 1/21
d) 4/9
e) 5/9

The probability that the new color will be Jaune is possible in the following situations:
(1) There are at least 2 jars of yellow paint
(2) There is exactly 1 jar of yellow paint

Now let's first find the probability that there are no jars of yellow paint = 5/9 * 4/8 * 3/7 = 5/42

Therefore, probability that some jars are of yellow paint = 1 - 5/42 = 37/42

The correct answer is B.