A jar of gumballs contains 10 blue gumballs, 20 green gumballs, 15 yellow gumballs, and 25 pink gumballs. You reach into the jar and randomly select a gumball, then select another while replacing the first gumball back. What is the probability that you draw a green gumball as a percent and a fraction in simplest form?
Question unclear.
First draw 20/70 = ?
Two draws, both green with replacement:
If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.
20/70 * 20/70 = ?
To find the probability of drawing a green gumball, we need to determine the total number of gumballs in the jar and the number of green gumballs.
Given:
- Blue gumballs: 10
- Green gumballs: 20
- Yellow gumballs: 15
- Pink gumballs: 25
To determine the total number of gumballs, we add up the quantities of each color:
Total gumballs = Blue + Green + Yellow + Pink
Total gumballs = 10 + 20 + 15 + 25
Total gumballs = 70
Now that we know there are 70 gumballs in total, the probability of drawing a green gumball can be calculated as follows:
Probability = Number of desired outcomes / Total number of possible outcomes
In this case, the number of desired outcomes is the number of green gumballs, which is 20. The total number of possible outcomes is the total number of gumballs, which is 70.
Probability = 20 / 70
To express the probability as a fraction in simplest form, we can simplify the numerator and the denominator:
Probability = (20 ÷ 10) / (70 ÷ 10)
Probability = 2 / 7
To express the probability as a percent, we can multiply the fraction by 100:
Probability = (2 / 7) × 100
Probability = 28.57%
Therefore, the probability of drawing a green gumball is 2/7 as a fraction in simplest form and 28.57% as a percent.