Question

the following set of marbles is placed into a bag. then, without looking, a marble is pulled out of the bag. what is the probability that the chosen marble will be yellow? submit your answer as a simplified fraction, as well as a decimal and percentage, both rounded to the hundredths place.

you are randomly playing songs in a playlist. the genres of the playlist are described in the table below. what is the probability of selecting a song that is not in the rock genre?
music genre number of songs
rock 4
hip - hop 2

Explanation:

Step1: Calculate total number of marbles

There are 3 black + 1 blue + 2 yellow = 6 marbles in total.

Step2: Calculate probability as fraction

The number of yellow marbles is 2. The probability $P$ of selecting a yellow marble is the number of favorable outcomes (yellow marbles) divided by the total number of outcomes (all marbles). So $P=\frac{2}{6}=\frac{1}{3}$.

Step3: Convert to decimal

To convert $\frac{1}{3}$ to a decimal, we divide 1 by 3: $1\div3\approx0.333$.

Step4: Convert to percentage

To convert the decimal to a percentage, we multiply by 100. So $0.333\times 100 = 33.33\%$.

Answer:

Fraction: $\frac{1}{3}$
Decimal: $0.333$
Percent: $33.33\%$