If a number is selected at random from the list above, what is the probability that it will be less than 4?

Rationale

The probability that a randomly selected number from the list is less than 4 is 1/2.

To determine this probability, we first identify how many numbers in the list are less than 4, then divide that by the total number of numbers in the list. This calculation reveals that half of the numbers are below 4.

A (3/8) YOUR ANSWER

This option suggests that only three out of eight numbers are less than 4. However, counting the qualifying numbers in the list shows that there are four numbers below 4, not three. Therefore, this option underestimates the actual count of numbers less than 4.

B (1/2) CORRECT

This is the correct answer. Upon reviewing the list, there are four numbers less than 4 out of a total of eight numbers. Thus, the probability is calculated as 4 divided by 8, which simplifies to 1/2.

C (5/8) YOUR ANSWER

This choice implies that five out of eight numbers are less than 4. However, this is inaccurate as it overestimates the count of numbers below 4. The correct count is four numbers, which does not support this probability.

D (3/4) YOUR ANSWER

This option suggests that three-quarters of the numbers are less than 4, which would mean six out of eight. This is incorrect since the actual count is only four numbers below 4. Therefore, this option significantly exaggerates the count.

Conclusion

In summary, the probability of selecting a number less than 4 from the given list is accurately represented by the fraction 1/2. This ratio arises from identifying that exactly four out of the eight total numbers fall below the threshold of 4. Other options miscount the qualifying numbers, leading to incorrect probabilities.

If a number is selected at random from the list above, what is the probability that it will be less than 4?

The probability that a randomly selected number from the list is less than 4 is 1/2.

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