Question

Each number 1 through 10 is written on a slip of paper place and a hat and randomly picked Sarah picks a number less than 5 keep it and then picks an odd number. Is it independent?

Answer 1

Answer: B, C, E

Explanation:

Answer 2

Answer: it is not independent.

Explanation:

Independent means that the first event did not affect the next event.

We know that she first picked a number less than 5 (and keeps it), this can be 1, 2, 3 or 4.

After that, she picked up an odd number.

Now, suppose that the first number shie picked was one of the even numbers.

Then, the probability that the next number was odd is slightly bigger than the case where the first number she picked was an odd number (because in this case there are less odd numbers in the hat)

Then, we can see that the first event has an effect on the second event, then those two events are not independent.