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 black? submit your answer as a simplified fraction, as well as a decimal and percentage, both rounded to the hundredths place.

Explanation:

Step1: Count total marbles

There are 5 marbles in total.

Step2: Count black marbles

There are 2 black marbles.

Step3: Calculate probability as fraction

The probability $P$ of choosing a black marble is the number of black marbles divided by the total number of marbles. So $P=\frac{2}{5}$.

Step4: Convert to decimal

$\frac{2}{5}=2\div5 = 0.40$.

Step5: Convert to percentage

$0.40\times100\% = 40.00\%$.

Answer:

Fraction: $\frac{2}{5}$
Decimal: $0.40$
Percent: $40.00\%$