Question

Which is least likely to occur?

A.) Probability of 0.4
B.) Probability of 1/6
C.) Probability of 2/3

Answer 1

B.) Probability of 1/6

Explanation:

To determine which of the options is least likely to occur, first convert all of them to the same form (fractions, decimals, percentages, etc.). Since 2 are already in fraction form, let's convert the other one to fraction form as well.

0.4 = 4/10

4/10 = 2/5

Now, the probabilities are 2/5, 1/6, and 2/3. Since 1/6 is the smallest number out of the three, that option is correct; a probability of 2/3 the least likely to occur.

Answer 2

B

Explanation:

The smaller the number, the lesser the chance of it happening.

The probability of 1 means that it will definitely occur and the probability of 0 means it will not occur.

Let's convert all of them to decimals.

Option A ➣ 0.4

Option B ➣ 0.16667 (5 s.f.)

Option C ➣ 0.66667 (5 s.f.)

Hence the smallest number here is ⅙ so it's the least likely to occur. Thus, the answer is B.