Question

Two keys named F and G are available, along with four locks: blue, red, white, and yellow. What is the probability that the key F is paired up with the red lock?

a. 1/4
b. 1/2
c. 1/3
d. 1/6

Answer 1

The probability that key F is paired with the red lock is 1 out of 4 options, or 1/4.

Step-by-step explanation:

The question asks about the probability that key F is paired with the red lock. Since there are two keys (F and G) and four locks (blue, red, white, and yellow), each key can be paired with any of the four locks.

Therefore, for key F, there are four possible lock choices. The probability of pairing key F with a specific lock, like the red lock, is just one out of those four possible choices.

So, the probability that key F is paired up with the red lock is 1 out of 4, which is 1/4.

Answer 2

The probability that the key F is paired up with the red lock is a. 1/4. Therefore the correct answer is option a.

Step-by-step explanation:

To find the probability of the key F being paired with the red lock, we need to consider the total number of possible pairings. With two keys (F and G) and four locks (blue, red, white, yellow), there are a total of
`\(2 * 4 = 8\)` possible pairings.

Specifically, the key F can be paired with any of the four locks. Therefore, the probability of key F being paired with the red lock is (1) out of
`\(4\), or \((1)/(4)\)`. The correct answer is option
`(a) – \( (1)/(4) \)`. In terms of probability, it is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

In this scenario, there is one favorable outcome (F paired with the red lock) out of four possible outcomes (F paired with blue, red, white, or yellow lock). Hence,
`\( (1)/(4) \)` represents the likelihood of the key F being paired with the red lock.

Understanding probability is essential in various fields, including mathematics, statistics, and everyday decision-making. In this case, it provides a quantitative measure of the likelihood of a specific event occurring, aiding in making informed predictions or decisions based on the given set of possibilities. Therefore the correct answer is option a.