asked 147k views
5 votes
The probability of Mrs. Galvan randomly selecting a black pen from the 20 pens in her drawer is 2/20. Which of the following describes the likelihood of selecting a black pen?

A. unlikely
B. likely
C. neither unlikely nor likely

asked
User Kornero
by
9.1k points

2 Answers

1 vote

Answer:

A. Unlikely

Explanation:

Getting a black pen is lesser than the 50%, which is 10/20. Not more nor equal, so the answer is A, unlikely.

answered
User Asaelr
by
7.9k points
7 votes

Based on the given probability of 2/20 (0.1), the likelihood of selecting a black pen from Mrs. Galvan's drawer of 20 pens is best described as:

A. unlikely

Since there are only 2 black pens out of 20 total pens, the probability of randomly selecting a black pen is fairly low at 0.1 or 10%. Events with probabilities less than 0.5 (50%) are generally considered unlikely. Having only a 1 in 10 chance of an outcome makes that outcome unlikely.

B. likely

This option is incorrect. With a probability of 0.1 or 10%, selecting a black pen is unlikely, not likely. An outcome is considered likely if it has a probability of greater than 0.5 (50%).

C. neither unlikely nor likely

This option is also incorrect. While probabilities close to 0.5 could be described as neither unlikely nor likely, a probability of 0.1 is clearly on the unlikely side. Events with probabilities less than 0.5 are classified as unlikely.

In summary, given that there is only a 10% chance (2 out of 20) of randomly selecting a black pen from Mrs. Galvan's drawer, the likelihood of this outcome is best described as unlikely rather than likely or neither unlikely nor likely. A probability of 0.1 is well below the 0.5 threshold that would make an outcome considered likely. Therefore, the answer is A: unlikely.

Hope this explanation has helped clarify why A is the best choice! Let me know if you have any other questions.

answered
User Nikos
by
8.4k points