The gumball machine contains orange, yellow, and purple gumballs. The probability of getting an orange gumball is 3/4. The probability of getting a yellow gumball is 1/6. whats the probability of getting purple.
since there are only 3 colors,
3/4 + 1/6 + P(purple) = 1
To find the probability of getting a purple gumball, we need to consider that the total probability of all possible outcomes must sum to 1.
In this scenario, we know that the probability of getting an orange gumball is 3/4 and the probability of getting a yellow gumball is 1/6. Therefore, we can calculate the probability of getting a purple gumball using the following formula:
Probability of getting a purple gumball = 1 - (Probability of getting an orange gumball + Probability of getting a yellow gumball)
Probability of getting a purple gumball = 1 - (3/4 + 1/6)
To simplify the calculation, let's find a common denominator for 4 and 6, which is 12.
Probability of getting a purple gumball = 1 - (9/12 + 2/12)
Probability of getting a purple gumball = 1 - 11/12
Now, to subtract fractions, we need to have a common denominator. So, the fraction 1 can be written as 12/12.
Probability of getting a purple gumball = 12/12 - 11/12
Probability of getting a purple gumball = 1/12
Therefore, the probability of getting a purple gumball is 1/12.