To determine whether the events are overlapping or non-overlapping, we need to see if they can occur at the same time or not.
Event 1: Randomly choosing a black sock.
Event 2: Randomly choosing a small sock.
Since the sock can be both black and small, it means that these events are overlapping because we can choose a sock that is both black and small.
The probability of randomly choosing a black sock is 1/8 because there is 1 out of 8 socks that are black.
The probability of randomly choosing a small sock is 1/2 because half of each color (black and red) are small.
To find the probability of the combined event, we multiply the probabilities of the individual events:
Probability of choosing a black and small sock = Probability of choosing a black sock * Probability of choosing a small sock
= 1/8 * 1/2
= 1/16
Therefore, the probability of the combined event is 1/16.
determine whether the following individual events are overlapping or non-overlapping. then find the probability of the combined event.
randomly choosing a black sock or a small sock from a drawer in which an eighth of the socks are black and seven eighths are red and half of each color are small and half are large
1 answer
1 answer