Question

A number between 1 and 3 is chosen 30 times. What is the experimental probability of picking a number that is NOT odd?

a) (3/5)
b) (1/3)
c) (2/5)
d) (4/15)

Answer 1

There are 3 numbers that we can choose, one of which is even (not odd). We have 1/3, so the answer is b.

Answer 2

The experimental probability of picking a number that is not odd when choosing a number between 1 and 3 is 1/3. This is because there is only one non-odd number (2) amongst the three possible numbers (1, 2, and 3), and each pick is independent.

Step-by-step explanation:

The question is asking about the experimental probability of picking a number that is not odd when a number between 1 and 3 is chosen 30 times. Numbers between 1 and 3 include 1, 2, and 3. Out of these, only 2 is not odd. Therefore, on any given pick, the probability of not picking an odd number is 1/3 because there is one non-odd number (2) out of the three possible numbers (1, 2, 3).

However, when this action is repeated 30 times, we assume all trials are independent events. Therefore, the experimental probability for each trial remains constant at 1/3. To find the experimental probability of the entire series of events, we simply reaffirm the probability of not picking an odd number in each event, which is 1/3, since the outcome of each event does not affect the outcome of the others.

The answer to this question is (b) (1/3), because it represents the probability of picking a number that is not odd (the number 2) in each of the 30 independent picks.