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
4
,0.129, 12.9%
31
,
,0.114, 11.4%
35
,0.143, 14.3%
3
,0.086, 8.6%
35
The probability of selecting a red marble is 4 out of 35.
As a fraction in simplest form:
P(red) = 4/35
As a decimal:
P(red) = 0.114
As a percent:
P(red) = 11.4%
A number cube with the numbers 1 through 6 is rolled. Find P(number is greater than or equal to 3).
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There are 4 numbers greater than or equal to 3 on a number cube (3, 4, 5, and 6) out of a total of 6 possible outcomes.
Therefore, the probability of rolling a number greater than or equal to 3 is 4/6 or simplifying it 2/3.
So P(number is greater than or equal to 3) = 2/3
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).
P(red) = 4/35
To simplify the fraction, we can find the greatest common divisor of 4 and 35, which is 1. Divide both the numerator and denominator by 1 to simplify the fraction:
P(red) = 4/35 = 4 ÷ 1 / 35 ÷ 1 = 4/35
So, the probability of selecting a red marble is 4/35.
To express the probability as a decimal, divide the numerator (4) by the denominator (35):
P(red) ≈ 4 ÷ 35 = 0.114
So, the probability of selecting a red marble is approximately 0.114.
To express the probability as a percentage, multiply the decimal by 100:
P(red) ≈ 0.114 × 100 ≈ 11.4%
So, the probability of selecting a red marble is approximately 11.4%.