We are given three coins: one has heads in both faces, the second has tails in both faces, and the third has a head in one face
and a tail in the other. We choose a coin at random, toss it, and it comes head. What is the probability that the opposite face is tails?
1 answer:
Answer: 0.33
Step-by-step explanation:
Let,
- E1 be the coin which has heads in both faces
- E2 be the coin which has tails in both faces
- E3 be the coin which has a head in one face and a tail in the other.
In this question we are using the Bayes' theorem,
where,
P(E1) = P(E2) = P(E3) =
As there is an equal probability assign for choosing a coin.
Given that,
it comes up heads
so, let A be the event that heads occurs
then,
P(A/E1) = 1
P(A/E2) = 0
P(A/E3) =
Now, we have to calculate the probability that the opposite side of coin is tails.
that is,
P(E3/A) = ?
∴ P(E3/A) =
=
= ×
=
= 0.3333 ⇒ probability that the opposite face is tails.
You might be interested in
Answer:
Angle ABC: 110°
Angle XYZ: 75°
I believe it is C!!
You got this!!!
First you gave to get the denominators all the same then you can answer the questions