What is the probability that a pen randomly pulled from a backpack containing 5 blue pens, 6 black pens, and 4 red pens is either red or black?

What is the probability that a pen randomly pulled from a backpack containing 5 blue pens, 6 black pens, and 4 red pens is either red or black?

• A. 2/3
• B. 3/5
• C. 2/5
• D. 1/3

Answer: (A)

To determine the probability of selecting either a red or a black pen from the backpack, we first need to establish the total number of pens in the backpack. The backpack contains: - 5 blue pens - 6 black pens - 4 red pens Calculating the total number of pens involves adding all the pens together: 5 (blue) + 6 (black) + 4 (red) = 15 pens in total. Next, we want to find out how many pens are either red or black. We have: - 6 black pens - 4 red pens Adding these together gives: 6 (black) + 4 (red) = 10 pens that are either black or red. The probability of drawing a pen that is either red or black is the number of successful outcomes (drawing a black or red pen) divided by the total number of possible outcomes (the total number of pens). Thus, the probability can be calculated as follows: Probability = Number of favorable outcomes / Total number of outcomes = 10 / 15. This fraction can be simplified: 10 / 15 = 2 / 3. Therefore, the correct answer is indeed 2/3, as it accurately

To determine the probability of selecting either a red or a black pen from the backpack, we first need to establish the total number of pens in the backpack.

The backpack contains:

• 5 blue pens

• 6 black pens

• 4 red pens

Calculating the total number of pens involves adding all the pens together:

5 (blue) + 6 (black) + 4 (red) = 15 pens in total.

Next, we want to find out how many pens are either red or black. We have:

• 6 black pens

• 4 red pens

Adding these together gives:

6 (black) + 4 (red) = 10 pens that are either black or red.

The probability of drawing a pen that is either red or black is the number of successful outcomes (drawing a black or red pen) divided by the total number of possible outcomes (the total number of pens).

Thus, the probability can be calculated as follows:

Probability = Number of favorable outcomes / Total number of outcomes = 10 / 15.

This fraction can be simplified:

10 / 15 = 2 / 3.

Therefore, the correct answer is indeed 2/3, as it accurately