Chapter 13.3, Problem 25AYU

To determine

Which of the assignments of probabilities should be used if the coin is known to always come up tails?

Answer to Problem 25AYU

B

Explanation of Solution

Given:

Consider the experiment of tossing a coin twice. The table lists six possible assignments of probabilities for this experiment.

Formula used:

Probability of any event is $0\le P\left(E\right)\le 1$.

${\displaystyle \sum }_{i=1}^{n}P\left(e_i\right)=P\left(e_1\right)+P\left(e_2\right)+\cdot \cdot \cdot +P\left(e_n\right)=1$

Calculation:

B represents assignments of probabilities used if the coin is known to always come up tails assignment B has total probability 1 and the event has probability $0\le E\le 1$.