The probability that Kate chooses a two-digit number or a prime number randomly from the month of August is 7/31.
Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
Kate is randomly choosing a date in the month of August. This date must be a two-digit number or a prime number.
The two digit prime numbers are 7(11,13,17,19,23,29,31). Thus, the probability is,
[tex]P=\dfrac{7}{31}[/tex]
Hence, the probability that Kate chooses a two-digit number or a prime number randomly from the month of August is 7/31.
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