In a certain game of chance, a wheel consists of slots numbered 00, 0, 1, 2,..., . To play the game, a metal ball is spun around the wheel and is allowed to fall into one of the numbered slots. Complete parts (a) through (c) below.
(a) Determine the sample space. Choose the correct answer below.
A. The sample space is {1, 2,..., 32}.
B. The sample space is {00, 0}.
C. The sample space is {00}.
D. The sample space is {00, 0, 1, 2,..., 32}.
(b) Determine the probability that the metal ball falls into the slot marked 3. Interpret this probability.
The probability that the metal ball falls into the slot marked 3 is [probability]. Interpret this probability. Select the correct choice below and fill in the answer box within your choice. (Type a whole number.)
A. If the wheel is spun 1000 times, it is expected that about [probability] of those times result in the ball landing in slot 3.
B. If the wheel is spun 1000 times, it is expected that exactly [probability] of those times result in the ball not landing in slot 3.
(c) Determine the probability that the metal ball lands in an odd slot. Interpret this probability.
The probability that the metal ball lands in an odd slot is [probability]. Interpret this probability. Select the correct choice below and fill in the answer box within your choice. (Type a whole number.)
A. If the wheel is spun 100 times, it is expected that exactly [probability] of those times result in the ball not landing on an odd number.
B. If the wheel is spun 100 times, it is expected that about [probability] of those times result in the ball landing on an odd number.