A standard deck of 52 cats contains four suits; heart, Diamond, clubs. And spaces. 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 cars. Expresses your answer in percent form rounding to the nearest hundredth
There are 13 diamond cards in a deck of 52 cards, and we need to draw 2 diamond cards out of those 13.
The probability of drawing a diamond on the first draw is 13/52.
After drawing a diamond on the first draw, there are now only 12 diamond cards left in a deck of 51 cards.
Therefore, the probability of drawing a diamond on the second draw is 12/51.
Multiplying these probabilities together, we get:
(13/52) * (12/51) = 156/2652 ≈ 0.05882
Converting this to a percentage gives us:
0.05882 * 100 ≈ 5.88%
Therefore, the probability of drawing two diamond cards is approximately 5.88%.
Nicole pulls a colored marble out of a bowl, choosing the marble at random. They are 120 marbles in the bowl, of which 80 are black,28 are white, and the rest are red. Use words ABC’s numbers to describe the probability that she will pull a red marble out of the bowl. Show your work
Given:
Total number of marbles in the bowl (T) = 120
Number of black marbles (B) = 80
Number of white marbles (W) = 28
Number of red marbles (R) = T - (B + W)
= 120 - (80 + 28)
= 12
Hence, there are 12 red marbles in the bowl.
Probability of pulling a red marble (P(R)) = Number of red marbles / Total number of marbles
= 12 / 120
= 1 / 10
Using words, ABC's, and numbers:
"Probability of pulling a red marble out of the bowl is one-tenth or 1 out of 10 marbles."
Nicole pulls a colored marble out of a bowl, choosing the marble at random. They 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
Given:
Total number of marbles in the bowl (T) = 120
Number of black marbles (B) = 80
Number of white marbles (W) = 28
Number of red marbles (R) = 120 - (80 + 28) = 12
There are 12 red marbles in the bowl.
Probability of pulling a red marble (P(R)) = Number of red marbles / Total number of marbles
= 12 / 120
= 1 / 10
Therefore, the probability that Nicole will pull a red marble out of the bowl is 1 out of 10 marbles.
Show your work on how you did it
To calculate the probability that Nicole will pull a red marble out of the bowl, we first need to find the total number of red marbles available in the bowl:
Total number of marbles in the bowl = 120
Number of black marbles = 80
Number of white marbles = 28
Number of red marbles = Total number of marbles - (Number of black marbles + Number of white marbles)
Number of red marbles = 120 - (80 + 28)
Number of red marbles = 12
So, there are 12 red marbles in the bowl.
To find the probability of pulling a red marble, we use the formula:
Probability = Number of favorable outcomes / Total number of outcomes
In this case:
Number of favorable outcomes (red marbles) = 12
Total number of outcomes (total marbles) = 120
Probability of pulling a red marble = 12 / 120
Probability of pulling a red marble = 1 / 10
Therefore, the probability that Nicole will pull a red marble out of the bowl is 1 out of 10 marbles.