The probability that the date will be two digit prime number= 
Step-by-step explanation:
Given,
Kate is choosing a date from August randomly
To find the probability that the date will be two digit prime number
Number of days in August = 31
Days which are two digit and prime are = 11, 13,17, 19, 23, 29, 31
Number of days which are two digit and prime = 7
Formula
<u>Probability of an event = ( number of occurrence of the event)÷(total number of events)</u>
So,
The probability that the date will be two digit prime number= 