Question

I need help in this section.

Answer 1

Answer:

$\frac{1}{45}$

Step-by-step explanation:

There are

2 yellow

3 magenta

5 blue

marbles in the bag.

So total of 2 + 3 + 5 = 10 marbles

We have to multiply the probability of yellow on first pick by the probability of yellow on second pick (WITHOUT REPLACEMENT).

We denote P(Y1) as probability of yellow on first draw &

P(Y2) as probability of yellow on second draw

Thus,

P(Y1) = 2/10 = 1/5  [since 2 yellow and 10 total marbles]

Now,

P(Y2) = 1/9  [since now 1 yellow is taken out and NOT replaced, so we have 1 yellow remaining and total 9 marbles]

Now, we multiply:

P(Y1) * P(Y2) = 1/5 * 1/9 = 1/45

The probability is  $\frac{1}{45}$