A bag contains 8 red, 4 blue, and 4 yellow marbles. What is the probability of randomly choosing 2 blue marbles without replacement? Write the answer as a decimal. Round to the nearest hundredth if needed. And What is the probability of getting heads, tails, and heads, in that order when flipping a coin? are these events dependent or independent? A. 1/8 dependent B. 1/8 independent C. 1/6 dependent D. 1/6 independent. Please help me i really need it thank you so much for whoever helps me.
Answers
Answer: The probability of randomly choosing 2 blue marbles without replacement is .
B. The probability of getting heads, tails, and heads, in that order when flipping a coin is 1/8.
These events are independent.
Step-by-step explanation:
Given: The number of blue marbles in the bag = 4
The total number of marbles in the bag =
After choosing one marble, the total marbles remains in the bag =
If first marble is blue, then number of blue marbles in bag =
Now, the the probability of randomly choosing 2 blue marbles without replacement is given by :-
Hence, the probability of randomly choosing 2 blue marbles without replacement is .
In order when flipping a coin.
Total outcomes = 2
Then, the probability of getting heads, tails, and heads, in that order when flipping a coin is given by :-
These events are independent of each other because the next event is not affected by the previous event.
firs step
p1=4/16
second step
p2=3/15
P=4/16*3/15=1/4*1/5=1/20=0,05 - correct answer
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Answers
1. 5x + 3x = 24
2. x(5+3) = 24
3. x = 24/(5+3)
4. x = 24/(8)
5. x= 8
6. 5*3 = 15 (Sam) 3*3 = 9 (Hanks)
Answers
Answers
Hello There!
126% as a fraction would be 1
126% =
126 ÷ 100 = 1.26
x
=
"REDUCED"
1
= 63/50
=1 13/50
all three are different forms
B. Events A and B are dependent because P(A|B) = P(A)
C. Events A and B are independent because P(A|B) = P(B)
D. Events A and B are dependent because P(A|B) P(A)
Answers
The statement that is true is Option (A) Events A and B are independent because P(A|B) = P(A).
What is conditional probability ?
In probability theory, conditional probability is a measure of the probability of an event occurring, given that another event has already occurred. In conditional probability, we always deal with two or more mutually exclusive events.
How to identify the correct statement ?
Given that the probability that Edward purchases a video game from a store is 0.67 (event A), and the probability that Greg purchases a video game from the store is 0.74 (event B). The probability that Edward purchases a video game (given that Greg has purchased a video game) is 0.67.
Thus we can see that both the events A and B are mutually exclusive events . Also A and B are both independent events means they do not have any relation of simultaneously occurring.
P(A/B) means that the probability that A will occur given that B has already occurred.
As both the events are independent, therefore when A will occur, it will have no relationship with event B.
∴ P(A/B) = P(A) .
Thus the statement that is true is Option (A) Events A and B are independent because P(A|B) = P(A).
To learn more about conditional probability, refer -
#SPJ2
Events A and B are independent because P(A|B) = P(A).
Given two events A and B, the conditional probability P(A|B) is the probability that A happends, knowing that B has happened. If the two events are dependent, knowing that B has already happened will change the probability of A. If, instead, knowing that B has happened doesn't change the probability of A, it means that A doesn't depend on B, and thus the events are independent.
Answers
Answer: OPTION B
Step-by-step explanation:
Let be "x" the acceptable lengths for the rod.
You know that the ideal length of the metal rod is 30.5 centimeters and the measured length may vary from the ideal length by at most 0.015 centimeters.
Therefore, knowing this, you can say that the acceptable lengths must be:
Therefore, the range of acceptable lengths for the rod is the following:
This range matches with the one shown in the option B.
B. $66.08
C. $30.34
D. $70.80
Answers
The cost of 3 bags of birdseed = 14.16 dollars
Then
The cost of 1 bag of birdseed = (14.16/3) dollars
So
The cost of 14 bags of birdseed = (14.16/3) * 14 dollars
= 198.24/3 dollars
= 66.08 dollars
So from the above deduction we can see that the correct option is option "B". The cost of 14 bags of birdseed is $66.08. I hope the procedure is clear enough for you to understand.