the following set of marbles is placed into a bag. then, without looking, a marble is pulled out of the bag…
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.\n\nyou 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?\nmusic genre number of songs\nrock 4\nhip - hop 2
Answer
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: $33.33%$