There are 35 marbles in a bag: 9 blue marbles, 8 green marbles, 4 red marbles, 8 white marbles, and 6 yellow marbles. Find P(red). Write the probability as a fraction in simplest form, a decimal, and a percent.
four over thirty-one, 0.129, 12.9%
four over thirty-five, 0.114, 11.4%
one-seventh, 0.143, 14.3%
three over thirty-five, 0.086, 8.6%
Which answer makes sense to you?
I believe its 4/35, 0.114, 11.4%
To find the probability of selecting a red marble, we need to divide the number of red marbles (4) by the total number of marbles (35).
So, P(red) = 4/35.
Now, let's simplify this fraction.
The greatest common divisor (GCD) of 4 and 35 is 1. So we can't simplify this fraction any further.
Hence, the probability of selecting a red marble is 4/35.
To write the probability as a decimal, divide the numerator (4) by the denominator (35).
Decimal representation: 4/35 = 0.114.
To write the probability as a percent, multiply the decimal by 100.
Percent representation: 0.114 * 100 = 11.4%.
To find the probability of selecting a red marble from the bag, we need to know the total number of marbles and the number of red marbles.
The total number of marbles is given as 35, and the number of red marbles is given as 4.
To find the probability as a fraction, we can write it as:
P(red) = Number of red marbles / Total number of marbles
P(red) = 4/35
To simplify this fraction, we can reduce it by dividing the numerator and denominator by their greatest common divisor, which is 1 in this case.
So, the probability as a fraction in simplest form is 4/35.
To convert this fraction into a decimal, we divide the numerator by the denominator:
4 ÷ 35 ≈ 0.114
So, the probability as a decimal is approximately 0.114.
To convert this decimal into a percentage, we multiply it by 100:
0.114 × 100 = 11.4%
So, the probability as a percentage is 11.4%.