Answer to Question #348045 in Statistics and Probability for nina

Question

A jar contains 9 red marbles numbered 1 to 9 and 8 blue marbles numbered 1 to 8. A marble is drawn at random from the jar. Find the probability that the marble is blue AND even-numbered.

Answer 1

We know that

$P(event)=\frac{number\: of\: favorable\: outcomes}{number\: of\: total\: outcomes}.$

The total number of marbles is $9+8=17.$

Among them we have 4 blue AND even-numbered marbles (numbered 2, 4, 6, 8).

So

P(getting blue AND even-numbered marble)$=\frac{4}{17}.$

Answer: $\frac{4}{17}.$