Hello!
To find the probability of a compound event, you have to multiply the probabilities of each event it contains. In this case, our two events are selecting B, and selecting a yellow ball from B.
First off, there is a 1/3 chance of selecting B. This is the probability of the first event.
Next, we know that urn B has 5 yellow balls and 12 red balls. This means there are 17 total balls, so there are 5/17 yellow balls. This will be our second probability.
Finally, we multiply our two probabilities. 1/3(5/17)=5/51
The probability is 5/51, or about 10%.
I hope this helps!
Answer:
And we can find the individual probabilities like this:
And replacing we got:
Step-by-step explanation:
Previous concepts
A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by:
Solution to the problem
For this case we want this probability:
And for this case we can use the comlement rule and we got:
And we can find the individual probabilities like this:
And replacing we got:
3.0ft. The lenght of the third side of a triangle is 3.0ft.
The perimeter of a right triangle is the sum of the three sides P = a + b + c, where a, b, and c are the sides of the triangle.
If the perimeter and two sides of the triangle are known, it is possible to calculate the length of the third side.
P = a + b + c -------------> c = P - (a + b)
With P = 7.2ft, a = 1.8ft, and b = 2.4ft
c = 7.2ft - (1.8ft + 2.4ft)
c = 7.2ft - 4.2ft
c = 3.0ft
Answer:
∠A = 60° and ∠B = 30°
Step-by-step explanation:
Given in question as ,
Angle A is twice as large as its compliment angle B
Angles are compliment in nature when sum of these two angle = 90°
Now ∠A + ∠B = 90°
Again as per question ∠A = 2 times ∠B
So, 2 times ∠B + ∠ B = 90°
Or, 3 ∠B = 90°
So, ∠B =
Thus, ∠B = 30°
Now Put the value of angle B to get the value of angle A
So, ∠A = 90° - 30°
Or, ∠A = 60°
Hence ∠A = 60° and ∠B = 30° ANSWER
Expand and simplify LHS - Apply identity sin^2x+cos^2x = 1 To verify: (cotx<span> - </span>cscx)(cosx+1) =-sinx LHS=(cosx/sinx - 1/sinx)(cosx<span>+1)</span>