Let \( A \) and \( B \) be events with \( P(A)=1 / 3 \) and \( P(B)=2 / 3 \). Let \( N \) be the number of events from among \( A \) and \( B \) that occur. (For instance, if \( A \) occurs but \( B \) does not, then \( N=1 \).) Suppose that the occurrence of events in \( A \) and \( B \) are independent. Find, for example, the probability that no events occur.
Answers
Answer:
( 2/9 )
Step-by-step explanation:
Okay, so since the events A and B are independent, the probability that both of them do not occur is the product of their individual probabilities of not occurring.
The probability of event A not occurring, denoted as ( P(A') ), is equal to 1 minus the probability of A occurring. Similarly, the probability of event B not occurring, denoted as ( P(B') ), is equal to 1 minus the probability of B occurring.
So, ( P(A') = 1 - P(A) = 1 - 1/3 = 2/3 ) and ( P(B') = 1 - P(B) = 1 - 2/3 = 1/3 ).
Since A and B are independent, the probability that both A and B do not occur is simply the product of their individual probabilities of not occurring:
[ P(N = 0) = P(A' cap B') = P(A')P(B') = (2/3) times (1/3) = 2/9 ]
So, the probability that no events occur is ( 2/9 ).
Hope this helps! :)
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The plot has an area of 78,125 square meters and is 125 meters wide. What is the length of the plot?
What is greater 500 in or 40 ft
Using a directrix of y = 5 and a focus of (4, 1), what quadratic function is created?
Answers
Answer:
it's Truen
Step-by-step explanation:
a p l e x
State True or false: As long as its argument is restricted to [0,2pi] the polar form of a complex number is unique.
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Answers
Answer:
It is possible.
Step-by-step explanation:
Since the shorter two sides (16 and 17 feet) added together are greater than the longest side(20 feet) it meets the triangle inequality theorem
tickets cost?
Answers
Answer:
$63
Step-by-step explanation:
In order to solve this problem, we need to find the unit price, which is the price per 1 ticket in this case. To find this, we need to divide $45 by 5 because each ticket is the same amount: $45 / 5 = $9. So each ticket is $9.
Now, we need to find how much 7 tickets would cost. To do this, multiply the $9 / ticket by 7 tickets: $9 * 7 = $63.
This, 7 tickets would cost $63.
Hope this helps! God Bless u!!!
Answer:
63
Step-by-step explanation:
because each ticket is $9 each
Answers
Answer:
Let x be the number of person and y be the total cost per person.
As per the statement:
A catering company charges a $300 set up fee and $10 per person for a lunch buffet.
"$10 per person" translated to 10x
then;
Total cost per person = 10x+300
It is also given that: total cost per person is $14.
⇒
Subtract 10x from both sides we have;
Divide both sides by 4 we have;
x = 75
Therefore, 75 number of people must attend the lunch so that the total cost per person is $14
CATERING TOTAL COST F(X) = 10X + 300
TOTAL REQUIRED 14X
10X + 300 = 14X
10X - 14X = -300
-4X = -300
4X = 300
X= 300/4
X=75 <------------------SOLUTION
Answers
- An event is the result of a random experiment or a group of shared results.
- It could be defined as every subset of a sample space because the sample space is a collection of all possible results of a random experiment.
When the event B is dependenting on event A,
When the event A comes before event B. So, the probability of B given A:
Solving the value for the P(A):
Therefore, the "" is correct.
Learn more:
Therefore:
Answers
s(V) = V³
The minimum volume of the cube is
s(V) ≥ 64 cm³
V³ ≥ 64
V ≥ ∛64
V ≥ 4
The range of the value is from 4 to positive infinity.
Answer:
B
greater or equal to 4