Final answer:
The probability of a student receiving an A grade in a mathematics class when the odds against it are 7 to 3 is 1/11.
Step-by-step explanation:
In this case, the odds against a student receiving an A grade in the mathematics class are 7 to 3. This means that for every 7 times a student does not receive an A, they receive an A 3 times. To find the probability of receiving an A, we can use the formula:
Probability of A = 1 / (Odds against A + 1)
Substituting the given odds, we get:
Probability of A = 1 / (7 + 3 + 1) = 1/11
So, the probability that a student in the mathematics class will receive an A grade is 1/11.
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