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:
The exponent for the expression is -8
Step-by-step explanation:
Answer:
The first one is 648 and the second one is 11,600
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
look at the x and y axis
Answer:
C. Events E and A are independent
Step-by-step explanation:
we will verify each options
(a)
We can use independent events formula
P(B∩C)=P(B)*P(C)
we are given
P(B)=0.4
P(C)=0.25
P(B∩C)=0.05
now, we can plug these values into formula
and we get
0.05=0.4*0.25
0.05=0.1
we can see that left side is not equal to right side
so, this is FALSE
(b)
We can use independent events formula
P(D∩A)=P(D)*P(A)
we are given
P(D)=0.25
P(A)=0.6
P(D∩A)=0.1
now, we can plug these values into formula
and we get
0.1=0.25*0.6
0.1=0.15
we can see that left side is not equal to right side
so, this is FALSE
(c)
We can use independent events formula
P(E∩A)=P(E)*P(A)
we are given
P(E)=0.5
P(A)=0.6
P(E∩A)=0.3
now, we can plug these values into formula
and we get
0.3=0.5*0.6
0.3=0.3
we can see that both sides are equal
so, this is TRUE
(d)
We can use independent events formula
P(D∩B)=P(D)*P(B)
we are given
P(D)=0.25
P(B)=0.4
P(D∩A)=0.15
now, we can plug these values into formula
and we get
0.15=0.25*0.4
0.15=0.1
we can see that left side is not equal to right side
so, this is FALSE
