We want to find the probability of drawing 3 red cards from a deck of 52 cards.
We will find that the probability is P = 0.1176
Let's see how to get that probability.
We know that a standard deck of 52 cards has:
- 26 red cards
- 26 black cards
And we assume that all the cards have the same probability of being drawn. Then the probability of drawing a red card in the first draw is just the quotient between the number of red cards and the total number of cards, we get:
p₁ = 26/52
For the second draw, we compute the probability in the same way, but now there are 25 red cards in the deck and 51 cards in total (because one is already drawn). Then the probability in this case is:
p₂ = 25/51
Finally, for the third card, we have 24 red cards and 50 total cards, then the probability will be:
p₃ = 24/50
The joint probability (the probability of drawing the 3 red cards in the same event) is the product of the individual probabilities.
P = p₁*p₂*p₃ = (26/52)*(25/51)*(24/50) = 0.1176
If you want to learn more, you can read:
brainly.com/question/10224828
Answer:
240 mL.
Step-by-step explanation:
The following data were obtained from the question:
Ratio of Flour = 5
Ratio of brown sugar = 3
Ratio of chocolate = 4
Total volume = 720 mL
Next, we shall determine the total ratio. This can be obtained as follow:
Total ratio = ratio of flour + ratio of brown sugar + ratio of chocolate
Total ratio = 5 + 3 + 4
Total ratio = 12
Finally, we shall determine the volume of the chocolate chips in the mixture as shown below:
Volume of chocolate chips = ratio of chocolate /total ratio x total volume
Ratio of chocolate = 4
Total ratio = 12
Total volume = 720 mL
Volume of chocolate chips =..?
Volume of chocolate chips = ratio of chocolate /total ratio x total volume
Volume of chocolate chip = 4/12 x 720
Volume of chocolate chip = 240 mL
Therefore, the volume of the chocolate chips in the mixture is 240 mL.
Answer:
37.7
Step-by-step explanation:
Hypotenuse is the longest side
Answer:
5 cups
The Commutative Property of Addition
Step-by-step explanation:
They have a common denominator of 12
21/12+6/12+20/12+4/12+3/12+6/12=60/12=5 cups
or you could group ingredients with the same denominators
7/4+1/4+1/2+1/2+5/3+1/3=
8/4+2/2+6/3=
2+1+2=5
The Commutative Property of Addition says the order of the numbers doesn’t change the outcome.
<h3>
Answer: B) Complex numbers</h3>
Complex numbers are always in the form a+bi with 'a' and 'b' as real numbers.
If b = 0 and 'a' is nonzero, then a+bi = a+0i = a which is strictly a real number
If a = 0 and b is nonzero, then a+bi = 0+bi = bi indicating that the number is now purely imaginary