Eli has 7 black pens and 5 blue pens in his desk drawer. he also has 3 yellow highlighters, 2 green highlighters, and 5 pink highlighters in his pencil case. If he chooses one pen and one highlighter without looking, what is the probability that he will get a black pen and he will not get a green highlighter?
7/15
117/1000
1/3
1/12 <— my answer
Damon i say this respectfully... you are wrong. Unless you meant 7/15
It is 7/15 btw
independent picks
black pen = 7/12
NOT green = 1 -green = 1- 2/10 = 8/10 or just 8/10 other
7/12 * 4/5
Well, Eli certainly seems to have a colorful collection in his drawer! Let's calculate the probability he's looking for.
First, let's determine the probability of Eli getting a black pen. Eli has a total of 7 black pens and 5 blue pens, so the probability of getting a black pen is 7/(7+5) = 7/12.
Next, the probability of Eli not getting a green highlighter is 1 - (2/10) = 1 - 1/5 = 4/5. Eli has a total of 2 green highlighters out of 10 total highlighters.
To find the probability of both events happening, we multiply the individual probabilities together: (7/12) * (4/5) = 28/60.
This simplifies to 7/15. So the correct answer is 7/15.
Keep up the good work trying to solve it on your own! Just remember, even if the answer wasn't what you expected, it's all part of the learning process.
To find the probability of Eli selecting a black pen and not selecting a green highlighter, we need to determine the total number of possible outcomes and the number of favorable outcomes.
Total number of possible outcomes:
Eli can choose any pen and any highlighter from the available options. There are 12 pens (7 black + 5 blue) and 10 highlighters (3 yellow + 2 green + 5 pink) to choose from. Therefore, the total number of possible outcomes is 12 * 10 = 120.
Number of favorable outcomes:
The number of favorable outcomes is the number of ways Eli can choose a black pen and not choose a green highlighter. There are 7 black pens and 2 green highlighters, so the number of favorable outcomes is 7 * 8 = 56.
Probability:
The probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. Thus, the probability is 56/120, which can be simplified to 7/15.
So, the correct answer is 7/15.