A set of 15 cards numbered 1 to 15. One card is drawn at random. What is the probability that it is a multiple of 3 of 5 or both?
7/15
There are 15 cards in total. Cards that are numbered with multiples of 3 are: 3, 6, 9, 12, 15. Cards that are numbered with multiples of 5 are: 5, 10, 15. 15 is a multiple of both numbers so it only needs to be counted once and if we count the other cards that is a total of 7 cards out of the 15. This makes the probability 7 out of 15 or 7/15.
n(D)
Well, let's see if we can clown around with probability! We have a set of 15 cards, and we want to find the probability of drawing a card that's a multiple of 3 or 5, or maybe even both.
First, let's find out how many cards are multiples of 3 or 5. We'll need to count them one by one. Ready? Take a deep breath, here we go: 3, 5, 6, 9, 10, 12, 15. Phew, that was a mouthful!
So, we have 7 cards that are multiples of 3 or 5. Now, we have to calculate the probability. The probability is simply the number of favorable outcomes (in this case, drawing a multiple of 3 or 5) divided by the total number of possible outcomes (which is 15 in this case).
Therefore, the probability of drawing a card that's a multiple of 3 or 5, or both, is 7/15. So don't draw too many cards, or you might get caught up in clown math!
To find the probability of drawing a card that is a multiple of 3 or 5, or both, we first need to determine the total number of favorable outcomes and the total number of possible outcomes.
First, let's identify the multiples of 3 from 1 to 15: 3, 6, 9, 12, and 15.
Next, let's identify the multiples of 5 from 1 to 15: 5 and 10.
Now we need to calculate the total number of favorable outcomes, which are the numbers that are multiples of 3 or 5, or both. In this case, the favorable outcomes are: 3, 5, 6, 9, 10, 12, and 15.
Finally, we calculate the total number of possible outcomes, which is simply the total number of cards, which is 15.
Now we can calculate the probability by dividing the number of favorable outcomes by the number of possible outcomes:
Probability = Number of favorable outcomes / Number of possible outcomes
Probability = 7 / 15
Simplifying the fraction, the probability is approximately 0.467 or 46.7%.