In a certain game of chance, a wheel consists of 52 slots numbered 00, 0, 1, 2., 50. 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. O A. The sample space is {00, 0, 1, 2,., 50}. O B. The sample space is (00). OC. The sample space is (00, 0}. O D. The sample space is {1, 2,. 50}. (b) Determine the probability that the metal ball falls into the slot marked 4. Interpret this probability. The probability that the metal ball falls into the slot marked 4 is (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice. (Type a whole number.) O A. If the wheel is spun 1000 times, it is expected that about of those times result in the ball landing in slot 4. O B. If the wheel is spun 1000 times, it is expected that exactly of those times result in the ball not landing in slot 4. (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 (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice. (Type a whole number.) O A. If the wheel is spun 100 times, it is expected that about of those times result in the ball landing on an odd number. O B. If the wheel is spun 100 times, it is expected that exactly of those times result in the ball not landing on an odd number.
Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.
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