Which of the following statements best defines mutually exclusive events?
Two events are mutually exclusive if it is impossible for the two events to occur simultaneously.
Two events are mutually exclusive if the occurrence of one event has no effect on the probability of the other.
Two events are mutually exclusive if the intersection between the sample spaces of the two events is not empty.
Two events are mutually exclusive if the union of the sample spaces of the two events is not empty.
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I'd say B since they mutually exclusive events don't affect each other...
can i just have ther answer cuz i got like 6 more probs and im trying to go to bed
if i pass if i fail then i got like 2 hours
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want to help me with another one
A Dallas-area radio station plays songs from a specific, fixed set of artists. The station has no DJ; instead, a computer randomly selects which songs to play. The songs themselves are picked randomly, and the same song may be played many times in a row. In the set of songs, 45% are sung by a female singer, 40% are sung by a male singer, and 15% are instrumental with no vocals. What is the probability that a particular set of three songs contains one male singer, one female singer, and one instrumental? (Hint: Be aware that there are multiple ways to achieve this pattern of songs.)
Actually, I'd rethink the answer to the mutually exclusive question. Mutual exclusion refers to the property of two or more events to not be able to occur in 'mutual time/space', thereby meaning the events cannot occur at the same time. The property of independence in events is that events are not influenced by the occurrence of another event(s).
An example of independence would be how flipping a coin once and getting a heads has absolutely no bearing on whether I get a heads or a tails the next time I flip the coin.
An example of mutual exclusion would be how when I flip a coin, I can get a heads or a tails, but never both at the same time. They are mutually exclusive events.
so what about this one i just put can i just have the answer?