A bag contains 5 black, 3 green, 3 blue, and 4 yellow marbles. A marble is randomly drawn. Find P(not black).

1/5
2/3
1/3
4/15

A number cube is tossed and a card is picked at random. What is P(5, pink)?

1/24
1/5
1/6
1/4

There are 10 cards. They are numbered: 9, 10, 11, 12, 13, 14, 15, 16, 17, 18. One card is randomly picked.

What is P(prime number)?

70%
50%
30%
20%

I don't see any answers to your choices, how am I to check your work?

btw, the cube question makes no sense, where does the "pink" come in?

how many of the 10 numbers are prime?

P(prime) = #prime/10

To find the probability of an event, you need to divide the number of favorable outcomes by the total number of possible outcomes.

In the first question, the bag contains a total of 5 + 3 + 3 + 4 = 15 marbles. Out of these, there are 5 black marbles. Therefore, the number of favorable outcomes (not getting a black marble) is 15 - 5 = 10. The total number of possible outcomes is still 15. So, the probability of not getting a black marble (P(not black)) is 10/15, which simplifies to 2/3.

Therefore, the correct answer is 2/3.

In the second question, it is mentioned that a number cube is tossed and a card is picked at random. However, the event of interest is rolling a 5 and selecting a pink card. To find the probability, we need to multiply the probability of rolling a 5 by the probability of selecting a pink card.

A number cube has 6 sides, so the probability of rolling a 5 is 1/6. On the other hand, if the total number of cards is not provided, we cannot determine the probability of selecting a pink card. Therefore, we cannot calculate the exact probability without more information.

Given the options provided, we cannot determine the correct answer.