Mathematics, 05.08.2020 14:01 barb4you67

Events A and B are mutually exclusive. Find the missing probability. P(A) = 1/4 P(B) = 13/20 P(A or B) = ?

4/5

1/2

9/10

3/8

Answers: 3

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Answers

Answer from: warnene17

The P (A or B) should be $\frac{9}{10}$

Given that,

P(A) = 1 by 4 P(B) = 13 by 20

Based on the above information, the calculation is as follows:

$= \frac{1}{4} + \frac{13}{20}\\\\= \frac{5+13}{20} \\\\= \frac{18}{20}\\\\= \frac{9}{10}$

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Answer from: sugeilochoa

Option C.

Step-by-step explanation:

It is given that,

$P(A)=\dfrac{1}{4}$

$P(B)=\dfrac{13}{20}$

It is given that events A and B are mutually exclusive. It means they have no common elements.

$P(A\cap B)=0$

We know that,

$P(A\ or\ B)=P(A\cup B)=P(A)+P(B)-P(A\cap B)$

On substituting the values, we get

$P(A\cup B)=\dfrac{1}{4}+\dfrac{13}{20}-0$

$P(A\cup B)=\dfrac{5+13}{20}$

$P(A\cup B)=\dfrac{18}{20}$

$P(A\cup B)=\dfrac{9}{10}$

Therefore, the correct option is C.

Answer from: Quest

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.

Answer from: Quest

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.

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Events A and B are mutually exclusive. Find the missing probability. P(A) = 1/4 P(B) = 13/20 P(A or...