Final answer:
The probability of choosing an even number from a given set and the probability of choosing a number not less than 10.
Step-by-step explanation:
To find the probability that a number chosen at random is even, we need to determine the number of even numbers in the set. In this case, the set contains 2, 5, 8, 9, 12, 19, and 32. Out of these numbers, the even numbers are 2, 8, 12, and 32. Therefore, there are 4 even numbers in the set. The total number of numbers in the set is 7. So, the probability of choosing an even number is 4/7 or 0.57 (rounded to two decimal places).
To find the probability that a number is not less than 10, we need to determine the number of numbers in the set that are greater than or equal to 10. In this case, the numbers that are not less than 10 are 12 and 19. Therefore, there are 2 numbers in the set that are not less than 10. The probability of choosing a number that is not less than 10 is 2/7 or 0.29 (rounded to two decimal places).