Answer:
1/24
Step-by-step explanation:
To start, we can calculate the probability of each individual event:
<u>Getting the person right:</u>
1/2
<u>Getting the weapon right:</u>
1/3
<u>Getting the room right:</u>
1/4
Here, you're trying to find the probability of the intersection of the three events. This means we must multiply the probabilities of the independent events together.
1/2*1/3*1/4=1/24
or
0.0417
Note that we multiply the probabilities together when the previous event doesn't affect the probability of the next event. In general, questions that ask for the probability of a happening and b happening mean you multiply the probability of a and b (events that satisfy your demands are decreasing because you need BOTH events to occur).
On the other hand, questions that ask for the probability of a or b happening, meaning the events that satisfy your demands will increase (2 options versus 1), so you'd add the probabilities of a and b happening.
Hope that makes sense, let me know if you have any questions!
Monday = 12.50 x 4 = 50
Tuesday = 12.50 x 6 = 75
Wednesday = 12.50 x 9 =112.5
Thursday = 12.50 x 3 = 37.5
friday = 12.50 x 7 = 87.5
Total = $362.5
