Question

An integer, n, between 2and 36 is contained in a jarexcluding 2 and 36. What isthe probability of selectingan integer, n, between 1and 18 including 1 and 18?

a. 18/33
b. 16/33
c. 17/33
d. 15/33​

Answer 1

The probability of selecting an integer between 1 and 18 inclusive from the jar is 16/33 since there are 16 favorable outcomes out of 33 possible outcomes.

Step-by-step explanation:

The problem asks us to find the probability of selecting an integer, n, between 1 and 18 inclusive from a jar that contains integers between 2 and 36 exclusive. To solve this, we first determine the total number of possible outcomes. Since the jar contains integers from 3 to 35 (excluding 2 and 36), there are 35 - 3 + 1 = 33 possible different integers that could be drawn from the jar.

Next, we identify the number of favorable outcomes, which are the integers between 1 and 18 inclusive. This includes the integers from 3 to 18 (since 1 and 2 are not in the jar), giving us 18 - 3 + 1 = 16.

Therefore, the probability of drawing an integer between 1 and 18 inclusive is the number of favorable outcomes divided by the total number of outcomes, which is 16/33.