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UNO [17]
3 years ago
13

A bucket contains 6 green rubber balls, 4 red rubber balls, and 8 purple rubber balls. Alex removes 3 rubber balls, without repl

acement, from the bucket. What is the probability that Alex removes a green ball, red ball, and purple ball in that order?
Mathematics
1 answer:
Vlada [557]3 years ago
8 0

in total there are 6,4,8 which equals 18 .There are 18 balls in total. but Alex removed 3 so now there are 15 balls. There 3 different colors and 15 balls. So there is a 5% out of 15 that you will get a certain color .To find the probability you need to calculate all the possible outcomes.

G=Green   R=Red    P=Purple

G,R,P

G,P,R

P,G,R

P,R,G

R,P,G,

R,G,P

There is 6 different outcomes, 15 balls and a 5% chance to get a certain color so if you want to exactly get G,R,P there is a (15 divided by 6) chance to get that order.

(I'm not good at calculating that part.)

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sergiy2304 [10]

Answer:

\displaystyle Maximum: 11

Step-by-step explanation:

Convert this Quadratic Equation to Vertex Form by completing the square, \displaystyle y = a[x - h]^2 + k:

\displaystyle -5x^2 -10x + 6 \\ \\ -5x^2 - 10x + 25 + k \\ -5[x^2 + 2x - 5] + k \\ -5[x^2 + 2x + 1] + k → -5[x^2 + 2x + 1] + 11 → f(x) = -5[x + 1]^2 + 11 \\ \\ Vertex: [-1, 11]; 11 = Maximum

So as you can see, each time we broke the equation down, we used the formula \displaystyle [\frac{b}{2}]^2 to complete the square.

** In the Vertex Formula, −h gives the OPPOSITE terms of what they really are, so do not forget it.

I am joyous to assist you anytime.

4 0
2 years ago
Sam rolls a fair dice and flips a fair coin.
wolverine [178]

Answer:

The probability that this occurs is 25%, as 3/6 (chance to roll an odd number) multiplied by 1/2 (chance to flip a head) is .25.

Step-by-step explanation:

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Answer:

1/3

Step-by-step explanation:

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