LaylonieK506693 LaylonieK506693
  • 03-11-2022
  • Mathematics
contestada

P(not A) = 0.6 and P(B) = 0.5 and events A and B are independent. what is the P(A and B)?

Respuesta :

ZaineI260001 ZaineI260001
  • 03-11-2022

To determine the probability of independent P(A and B):

P(not A) = 0.6

[tex]\begin{gathered} P(A)\text{ = 1 - P(not A)} \\ P(A)=1-0.6 \\ P(A)=0.4 \end{gathered}[/tex][tex]P(B)=0.5[/tex]

As they are independent, product of their probabilities is the probability of occurring of both events simultaneously i.e.

P(A and B)=P(A)*P(B)

[tex]\begin{gathered} P(A\text{ and B)=P(A) X P(B)} \\ P(A\text{ and B)= 0.4 x 0.5} \\ P(A\text{ and B)= 0.2} \end{gathered}[/tex]

Therefore the probability of event A and B : P(A and B) = 0.2

Answer Link

Otras preguntas

A bottle of hot sauce is 3/4 full. Leigh uses 2/9 of the contents of the hot sauce bottle for lunch. How much of a full bottle of hot sauce did Leigh use for lu
PLEASE HELP, DON'T WANT TO FAIL! What ideas, positions, or assumptions do you want to challenge or argue within this talk? Search-Rita Pierson Ted Talk: Every C
Identify one or more cultural groups in the emancipation proclamation.
What is the answer? Please
Triangle ABC was transformed to be triangle DBP using one transformation What transformation was performed? O reflection o translation O rotation O dilation
Hi May I know how to solve this question
How would you do this question?
Multiply. ​ 3 2/3 x 3/4 ​ Express your answer in simplest form
Which body of water is to the East of Asia?
How did Eastern Woodland Natives utilize natural resources to adapt and survive?