The probability of drawing the first diamond card is 13/52 since there are 13 diamond cards out of 52 total cards.
After drawing the first diamond card, there are now 12 diamond cards left out of 51 total cards.
Therefore, the probability of drawing the second diamond card is 12/51.
To calculate the overall probability, we multiply the two probabilities together:
(13/52) * (12/51) = 0.0588
Converting to percent form, rounding to the nearest hundredth, we get:
0.0588 * 100 = 5.88%
So, the probability of drawing two diamond cards is 5.88%.
A standard deck of 52 cards contains four suits: hearts, diamonds, clubs, and spades. Each suit has 13 cards: ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, and king. Two cards are randomly drawn without replacement. Calculate the probability of drawing two diamond cards. Express your answer in percent form rounding to the nearest hundredth.(1 point) %
SIMPLIFY
5 answers
Nicole pulls a colored marble out of a bowl, choosing the marble at random. There are 120 marbles in the bowl, of which 80 are black, 28 are white, and the rest are red. Use words and numbers to describe the probability that she will pull a red marble out of the bowl. Show your work.(4 points)
First, we need to calculate how many red marbles are in the bowl. We know that there are 80 black marbles and 28 white marbles, so the total number of black and white marbles is 80 + 28 = 108.
Since there are 120 marbles in total, the number of red marbles is 120 - 108 = 12.
Now, we can calculate the probability of pulling a red marble. The probability is given by:
Number of favorable outcomes (red marbles) / Total number of outcomes
Number of red marbles = 12
Total number of marbles = 120
Probability of pulling a red marble = 12/120 = 0.1
Therefore, the probability that Nicole will pull a red marble out of the bowl is 0.1 or 10%.
Since there are 120 marbles in total, the number of red marbles is 120 - 108 = 12.
Now, we can calculate the probability of pulling a red marble. The probability is given by:
Number of favorable outcomes (red marbles) / Total number of outcomes
Number of red marbles = 12
Total number of marbles = 120
Probability of pulling a red marble = 12/120 = 0.1
Therefore, the probability that Nicole will pull a red marble out of the bowl is 0.1 or 10%.
simplify
To simplify the probability of pulling a red marble out of the bowl, we first express it as a fraction:
Probability = 12/120
We can simplify this fraction by dividing the numerator and denominator by their greatest common divisor, which is 12:
12/120 = (12 ÷ 12) / (120 ÷ 12) = 1/10
Therefore, the simplified probability of pulling a red marble out of the bowl is 1/10.
Probability = 12/120
We can simplify this fraction by dividing the numerator and denominator by their greatest common divisor, which is 12:
12/120 = (12 ÷ 12) / (120 ÷ 12) = 1/10
Therefore, the simplified probability of pulling a red marble out of the bowl is 1/10.
1 answer