contestada

Suppose that we have a box that contains two coins: A fair coin: P(H)=P(T)=0.5 . A two-headed coin: P(H)=1 . A coin is chosen at random from the box, i.e. either coin is chosen with probability 1/2 , and tossed twice. Conditioned on the identity of the coin, the two tosses are independent. Define the following events: Event A : first coin toss is H . Event B : second coin toss is H . Event C : two coin tosses result in HH . Event D : the fair coin is chosen. For the following statements, decide whether they are true or false. A and B are independent.

Respuesta :

The statement about Events A and B being Independent is; True

What is the correct probability statement?

We are given the defined events as;

Event A : first coin toss is H

Event B : second coin toss is H

Event C : two coin tosses result in HH

Event D : the fair coin is chosen.

1) We want to know whether A and B are independent.

Since the the probability that either coin is chosen has an equal probability of 1/2, then the probability of first coin toss as head does not affect the probability of the second coin outcome as head. Thus, they are mutually exclusive and are said to be independent.

Read more on probability at; https://brainly.com/question/251701

Otras preguntas