If 6 cards are drawn at random from a standard deck of 52 cards what is the probability that exactly 2 of the cards are spades
1 answer:
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Answer:
4.4722
Step-by-step explanation:
The following table shows the 36 elements of the sample space of the experiment
From this table we can compute the probabilities :
P(X = 1) = 1/36
P(X = 2) = 3/36
P(X = 3) = 5/36
P(X = 4) = 7/36
P(X = 5) = 9/36
P(X = 6) = 11/36
So the expected value equals
1P(X=1)+2P(X=2)+3P(X=3)+4P(X=4)+5P(X=5)+6P(X=6) =
= 1/36 + 6/36 + 15/36 + 28/36 + 45/36 + 66/36 = 161/36 =
4.4722
Answer:
Surface Area: 310 square inches.
Step-by-step explanation:
There are two ways to do this:
A) Formula for Surface Area of a Rectangular Prism = 2 * ( l*w + w*h + h*l). Where l is length, w is width & h is height. Based on the question:
l = 10 inch
w = 5 inch
h = 7 inch
Surface Area = 2 * ( 10*5 + 5*7 + 7*10) = 310 square inches.
B) Formula for Area of Rectangle = l*w, where l is length & w is width.
Look at the picture, I have marked the corners O,P,Q,R,S,T,U,V,W,X,Y,Z
If we calculate the Area of each rectangle and add them all we will get the surface area automatically.
- Area of PQRS = 10*7 = 70 square inches
- Area of STUV = 7*5 = 35 square inches
- Area of VWXY = (7+5)*10 = 120 square inches
- Area of ORYZ = 7*5 = 35 square inches
- Area of RSVY = 10*5 = 50 square inches
Now add them all = 70+35+120+35+50 = 310 square inches.
