Using conditional probability, it is found that there is a 0.1 = 10% probability that the chosen coin was the fair coin.
Conditional Probability
In which
- P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
- P(A) is the probability of A happening.
In this problem:
- Event A: Three heads.
- Event B: Fair coin.
The probability associated with 3 heads are:
out of 0.5(fair coin).- 1 out of 0.5(biased).
Hence:

The probability of 3 heads and the fair coin is:

Then, the conditional probability is:

0.1 = 10% probability that the chosen coin was the fair coin.
A similar problem is given at brainly.com/question/14398287
Answer:
x^2 -10x - 15 = 0
(don't know how far you want me to go)
Step-by-step explanation:
(x - 5)^2 = 40
(expand the brackets)
(x - 5)(x - 5) = 40
x^2 -5x -5x + 25 = 40
x^2 -10x + 25 = 40
x^2 -10x - 15 = 0
The minimum point on the graph of the equation y=f(x-5) is (-6, -3)
<h3>How to determine the minimum?</h3>
The initial minimum is given as:
(-1, -3)
The transformation y = f(x - 5) means that:
(x, y) = (x - 5, y)
So, we have:
(x, y) = (-1 - 5, -3)
Evaluate
(x, y) = (-6, -3)
Hence, the minimum point on the graph of the equation y=f(x-5) is (-6, -3)
Read more about transformation at:
brainly.com/question/24850937
#SPJ1
Here you go! Sorry I took forever to answer!