Answer:
1 / 2
Step-by-step explanation:
- First observe that the fate of the last person is determined the moment either the first or the last seat is selected! This is because the last person will either get the first seat or the last seat. Any other seat will necessarily be taken by the time the last guy gets to 'choose'.
- Since at each choice step, the first or last is equally probable to be taken, the last person will get either the first or last with equal probability: 1/2
- Armed with the key observation, we see that the event that the last person's correct seat is free, is exactly the same as the event that the first person's seat was taken before the last person's seat.
- Well, each person had to make a random choice, was equally likely to choose the first person's seat or the last person's seat - the random chooser exhibits absolutely no preference towards a particular seat. This means that the probability that one seat is taken before the other must be 1/2
Answer:
8
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
you need to first do 5.89- [(5.89 * 15)/100]=5.89-0.8835=5.0065
then 5.0065 * 2 = 10.013 because it is 15% each dozen then
[(10.013 * 5)/100] =0.50065 then 10.013 - 0.50065 = 9.51235
and lastly (9.51235 * 7)/100 = 0.6658645
finally 9.51235 + 0.6658645= 10.1782145
and then you just need to round it to the nearest hundredths and you will get 10.18
Answer:
12,000 m³
Step-by-step explanation:
- Area of it's base = 900 m²
- Height of the pyramid = 40 m
The volume of a pyramid = 1/3 × area of base × height
= 1/3 × 900 × 40
= 300 × 40
= 12,000 m³
Answer: length is 10 feet, width is 6.5 feet
Step-by-step explanation:
