There are 13 diamond cards out of a total of 52 cards. Thus, the probability of drawing a diamond card on the first draw is 13/52. After one diamond card is drawn, there are 12 diamond cards left in a remaining deck of 51 cards. Thus, the probability of drawing a second diamond card is 12/51. To find the probability of both events occurring together, we multiply the probabilities:
(13/52) * (12/51) = 0.0588
To convert to percent form, we multiply by 100:
0.0588 * 100 = 5.88%
Rounding to the nearest hundredth, 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.
? %
3 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.
The total number of marbles in the bowl is 120. Of these, 80 are black, 28 are white, and the rest are red. We can find the number of red marbles by subtracting the number of black and white marbles from the total:
Number of red marbles = Total number of marbles - Number of black marbles - Number of white marbles
Number of red marbles = 120 - 80 - 28 = 12
Therefore, there are 12 red marbles in the bowl.
The probability of pulling a red marble out of the bowl can be expressed as:
Probability of red marble = Number of red marbles / Total number of marbles
Probability of red marble = 12 / 120
Probability of red marble = 0.1
We can also express this probability as a percentage by multiplying by 100:
Probability of red marble = 0.1 * 100%
Probability of red marble = 10%
Therefore, there is a 10% chance that Nicole will pull a red marble out of the bowl.
Number of red marbles = Total number of marbles - Number of black marbles - Number of white marbles
Number of red marbles = 120 - 80 - 28 = 12
Therefore, there are 12 red marbles in the bowl.
The probability of pulling a red marble out of the bowl can be expressed as:
Probability of red marble = Number of red marbles / Total number of marbles
Probability of red marble = 12 / 120
Probability of red marble = 0.1
We can also express this probability as a percentage by multiplying by 100:
Probability of red marble = 0.1 * 100%
Probability of red marble = 10%
Therefore, there is a 10% chance that Nicole will pull a red marble out of the bowl.