Answer:
Sample space: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.
Yes, both have 50% probability
No, first event has 30% probability and second one has 20% probability
Step-by-step explanation:
As we have a total of 10 note cards, each if a number from 1 to 10 (each card with a different number) and we want to draw one card at random, the sample space is each of the 10 numbers in the note (sample space with 10 elements):
1, 2, 3, 4, 5, 6, 7, 8, 9, 10.
From this 10 numbers, we have a total of 5 odd numbers and 5 even numbers, so the events of selecting an even number and selecting an odd number are equally likely (the probability of both events are 5/10 = 50%)
The numbers from the sample space divisible by 3 are:
3, 6, 9 (so a total of 3 elements, probability of 3/10 = 30%)
The numbers from the sample space divisible by 5 are:
5, 10 (so a total of 2 elements, probability of 2/10 = 20%)
As the probabilities are different, these events are not equally likely
