Question

game 4 - clue

1. what is the probability that the weapon used is the rope?
2. what is the probability that the room used is the kitchen?
3. what are the odds that the person who committed the crime is professor plum?
4. what are the odds that a female committed the crime?
5. what is the probability that it was miss scarlet who committed the crime in the bathroom with the candlestick?

Explanation:

Since no information about the total number of weapons, rooms, suspects etc. is given, we'll assume some standard values for a Clue - like game. Typically, in Clue, there are 6 suspects, 6 weapons and 9 rooms.

Question 1

Step1: Define probability formula

Probability $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$.

Step2: Identify values

Assume 6 weapons. Favorable outcome (rope) = 1, total outcomes = 6.
$P=\frac{1}{6}$

Step1: Recall probability formula

$P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$

Step2: Determine values

Assume 9 rooms. Favorable outcome (kitchen) = 1, total outcomes = 9.
$P = \frac{1}{9}$

Step1: Recall odds formula

Odds in favor of an event $E$ is $\frac{P(E)}{1 - P(E)}$, where $P(E)$ is the probability of event $E$.

Step2: Calculate probability of event

Assume 6 suspects. Probability that the suspect is Professor Plum, $P=\frac{1}{6}$.

Step3: Calculate odds

$1 - P=1-\frac{1}{6}=\frac{5}{6}$. Odds $=\frac{\frac{1}{6}}{\frac{5}{6}}=\frac{1}{5}$ or 1:5

Answer:

$\frac{1}{6}$

Question 2