Sally has a bag of marbles. She has 3 different colored marbles in her bag – orange, black, and purple. If the probability of getting orange is 3/10 and the probability of black is 1/5. What is the probability of getting purple? Explain your reasoning.
10/10 - 3/10 - 2/10 = ?
To determine the probability of getting purple, we can use the principle that the sum of the probabilities of all possible outcomes must be equal to 1.
First, we need to determine the probabilities of orange and black marbles, which are given in the question. The probability of getting orange is stated to be 3/10, and the probability of black is 1/5.
We can add these two probabilities together to find the combined probability of getting orange or black:
3/10 + 1/5 = 3/10 + 2/10 = 5/10
Now, since the sum of the probabilities of all possible outcomes must be equal to 1, we can subtract the combined probability of orange or black from 1 to find the probability of getting purple:
1 - 5/10 = 10/10 - 5/10 = 5/10
Therefore, the probability of getting purple is 5/10.