A box contains three coins: two regular and one fake one-sided coin (P(H) = 1) You pick a coin at random and toss it. What is the probability that it lands tails up? You pick a random coin and after tossing get H. What is the probability that the coin is not fake?

Respuesta :

Answer:

0.50

Step-by-step explanation:

Given that a box contains three coins: two regular and one fake one-sided coin (P(H) = 1) You pick a coin at random and toss it.

Probability of selecting any one coin = 1/3

The coins are regular 1,  regular 2 ,         fake

P for head             0.5         0.5                  1

Probability for head = [tex]\frac{1}{3} (1+0.5+0.5) = 0.6667[/tex]

using total probability theorem for mutually exclusive and exhaustive)

Probability that coin is not fake/head = [tex]\frac{0.5+0.5}{1+0.5+0.5} \\= 0.5[/tex]