Seudónimo Seudónimo
  • 18-11-2019
  • Mathematics
contestada

If P(A) = 0.3 and P(B) = 0.6 what is P(A or B) if the two events are independent?

Respuesta :

shivanityagi shivanityagi
  • 18-11-2019

Answer:

P(A or B) is 0.72

Step-by-step explanation:

Given : P(A) = 0.3 and P(B) = 0.6

To Find:P(A or B) = P(A∪B)

Solution :

We are given that A and B are two independent events

Property : If A and B are independent events then [tex]P(A \cap B) = P(A) \times P(B)[/tex]

So, [tex]P(A \cap B) = P(A) \times P(B)[/tex]

[tex]P(A \cap B) =0.3 \times 0.6[/tex]

[tex]P(A \cap B) =0.18[/tex]

Formula : [tex]P(A \cup B)=P(A)+P(B)-P(A \cap B)[/tex]

[tex]P(A \cup B)=0.3+0.6-0.18[/tex]

[tex]P(A \cup B)=0.72[/tex]

Hence P(A or B) is 0.72

Answer Link

Otras preguntas

Someone who creates a system to offer a product or service in order to obtain a profit is called A) a capitalist. B) a businessman. C) an opportunist. D) an
is 81 a multiple of 3
What event triggered World War II? a. Germany's annexation of Austria b. Germany's invasion of Poland c. Germany's occupation of the Sudetenland d. Germany's
What does the 17th amendment say?
A neutron star that spins and emits beams of energy is called a _____. protostar red dwarf white dwarf pulsar black hole
what is the difference between 6z and z6
Select all that apply. Which animals have an endoskeleton? monkeys fish starfish grasshopper clam gecko
The practice of foot binding began during which dynasty a)sui b)tang c)song d)yuan
Natural gas forms from the remains of buried plants and animals. a. True b. False
How do you write 0.08 as a fraction