Question

You randomly draw a marble from a bag of marbles that contains 333 blue marbles, 444 green marbles, and 555 red marbles. What is \text{P(draw a blue marble})P(draw a blue marble)P, left parenthesis, d, r, a, w, space, a, space, b, l, u, e, space, m, a, r, b, l, e, right parenthesis? If necessary, round your answer to 222 decimal places.

Answer 1

The P(draw a blue marble)=0.25

Explanation:

The bag has:

3 blue marbles, 4 green marbles, and 5 red marbles.

This means that the total number of marbles in bag are:

3+4+5=12 marbles.

We are asked to find the probability that the marble that is randomly drawn from a bag is: Blue marble.

Let P denote the probability of an event.

We know that the probability of drawing a blue marble is equal to the ratio that the marble drawn is blue to the total number of marbles in the bag.

Hence,

`\text{P(blue\ marble)}=(3)/(12)\\\\i.e.\\\\\text{P(blue\ marble)}=(1)/(4)\\\\\\\text{P(blue\ marble)}=0.25`

Hence, the answer is:

P(draw a blue marble)=0.25