Millions of dollars of the movie "Avatar" for successive Fridays
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So, the total number of balls is 11. We want to pick 2 red balls and 1 green ball. WLOG (since order doesnt matter here), we can say he picks red, green, red. That means on his first pick, he has a chance of picking the red ball, and he places it back in the bag. The probability of picking a green ball is
, and then he places the ball back in the bag. The probability of picking the last red ball is the same as the last red ball example, and we simply multiply the probabilities together as per the multiplication rule to get:
Now, without replacement the order does matter. He picks a red ball, a red ball then a green ball. The probability of picking the first red ball is, and the probability of picking the second red ball is
and the probability of picking the green ball is
. We want to multiply thm again, as per the multiplication rule like the last problem.
Let's assume
length of rectangle =L
width of rectangle =W
You enclose 3 sides of the garden with 40 feet of fencing
so, we get
now, we can solve for L
we know that
area of rectangle is
now, we can plug
now, we can solve for W
we can use quadratic formula
we can take anyone value ..because both are giving positive value
first dimensions:
now, we can find L
so, length is 34.142feet
width is 2.929 feet
Second dimensions:
now, we can find L
so, length is 5.858feet
width is 17.071 feet