A number is chosen at random from the set {5,10,15,20,25,30,35,40,45,50}.
Which answer describes mutually exclusive events?
A. choosing a multiple of 10 and a multiple of 5
B. choosing an odd number or a multiple of 10
C. choosing a number less than 20 and greater than 15
D. choosing 30 or a multiple of 10
well, 10 is even, so are all its multiples.
please help y'all... i'm begging you!
To determine which answer describes mutually exclusive events, we need to understand what mutually exclusive events are. Mutually exclusive events are events that cannot occur at the same time. In other words, if one event happens, the other event cannot happen simultaneously.
Let's examine each answer choice:
A. Choosing a multiple of 10 and a multiple of 5: These events are not mutually exclusive because there are numbers in the given set (e.g., 10 and 20) that satisfy both conditions, making it possible for them to occur simultaneously.
B. Choosing an odd number or a multiple of 10: These events are not mutually exclusive because there are numbers in the given set that satisfy both conditions (e.g., 10), allowing them to occur simultaneously.
C. Choosing a number less than 20 and greater than 15: These events are not mutually exclusive because there are numbers in the given set (e.g., 20) that fall outside the desired range, making it possible for them to occur simultaneously.
D. Choosing 30 or a multiple of 10: These events are mutually exclusive because 30 and any multiple of 10 cannot occur at the same time. If a number is a multiple of 10, it cannot be 30, and if a number is 30, it cannot be a multiple of 10.
Therefore, the correct answer is D. Choosing 30 or a multiple of 10.