4Okay, so here's how you will do the problem.
first lets find out how many marbles there are in total. At first, there are 16 marbles. (6 yellow + 10 blue)
knowing this
P(Yellow) = 6/16. that simplifies to 3/8
P(Blue) = 10/16. that simplifies to 5/8
We can tell these are correct because when added together the probabilities equal 1 (meaning there's no missing probabilities)
Now, 2 yellow marbles and 3 blue marbles are removed.
this means there are now 4 yellow marbles and 7 blue marbles. this brings the total amount of outcomes is 11.
Now
P(yellow) = 4/11
P(blue = 7/11
we can cross multiply or find out the decimal values and compare to find out if the two are equal
3/8.× 4/11
33........32
5/8 × 7/11
55....56
We will come back to what this shows us in a moment
yellow - .375 (3/8) > .36 repeated
blue - .625 (5/8) < .63 repeated
Both methods show that the probability CHANGED. So, YES the probabilities were affected.
in method one, the cross multiplying show that yellow probability goes down and blue probability goes up. Using the decimals shows the same
hope this helps!
Answer: 0.05%
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Work Shown:
To go from percent form to decimal form, move the decimal over 2 spots to the left. Think of 2% as 2.0%
2% = 0.02
2.5% = 0.025
Multiply the decimal form of each percentage
0.02*0.025 = 0.0005
Convert that result to a percentage. Move the decimal 2 spots to the right
0.0005 = 0.05% is the probability both break down
Note: This multiplication rule only works if the two events are independent.
Answer:
99-7a^2=36 when a =3
Step-by-step explanation:
99-7a²
99-7(3)²
99-7(9)
99-63
36