College

You randomly draw a marble out of a bag that contains 20 total marbles. 12 of the marbles in the bag are blue.

What is the probability of drawing a blue marble?

Answer :

Answer:


Step-by-step explanation:

Probability=

Number of possible outcomes

Number of favorable outcomes

​ 0.6

There are 12 favorable outcomes (the 12 blue marbles).

There are 20 possible outcomes (the 20 total marbles).


{P(draw a blue marble}) ={12}{20} = 0.6P(draw a blue marble)=

20

12

​ =0.6

The probability of drawing a blue marble is [tex]\( \frac{12}{20} = 0.6 \)[/tex].

1. Identify the number of favorable outcomes:

There are 12 blue marbles in the bag.

2. Identify the total number of possible outcomes:

There are 20 marbles in total in the bag.

3. Use the formula for probability:

[tex]\[ P(\text{draw a blue marble})[/tex] = [tex]\frac{\text{Number of blue marbles}}{\text{Total number of marbles}}[/tex]

4. Substitute the values:

[tex]\[ P(\text{draw a blue marble}) = \frac{12}{20} = 0.6 \][/tex]

So, the probability of drawing a blue marble is 0.6.