Question 1195406
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"The probability that an athlete will not win any of the  three races is 1/4."<br>
In the solution from tutor @ikleyn, she says that "from the context..." the meaning of the given information is that the probability of his not winning in EACH of the three races is 1/4.<br>
But that is not what the given information says.<br>
It might be what the given information was SUPPOSED TO say; and indeed the questions that are asked can only be answered if that is what it was supposed to say.<br>
But the given information only tells us that the probability is 1/4 that the number of races he wins is 0; and from that given information we can only conclude that there is a 3/4 probability that he will win at least one of the three races.<br>
And the questions cannot be answered with only that information.<br>
My conclusion:<br>
The probability is about 99% that the problem was stated incorrectly.<br>