ou are dealt one card from a standard 52-card deck. Find the probability of being dealt an Ace or a 9.
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.
1) You are dealt one card from a standard 52-card deck. Find the
2) In a 1-pound bag of Skittles the possible colors were red, green, yellow, orange, and purple. The probability of drawing a particular color from that bag is given below.. This is a probability model
| Color | Probability |
| Red | 0.2299 |
| Green | 0.1900 |
| Orange | 0.2168 |
| Yellow | 0.1889 |
| Purple | 0.1816 |
True
False
3) The table lists the drinking habits of college students. If a student is chosen at random, find the probability of getting someone who is a woman or a regular drinker. Round your answer to 3 decimal places.
| Sex | Non-Drinker | Regular Drinker | Heavy Drinker | Total |
| Man | 135 | 34 | 5 | 174 |
| Woman | 187 | 21 | 13 | 221 |
| Total | 322 | 55 | 18 | 395 |
4) You are dealt one card from a 52-card deck. Find the probability that you are not dealt a ten.
5) You are dealth one card from a 52 card deck. The card is replaced in the deck, the deck is shuffled and you draw again. Find the probability of getting a red card the first time and a spade the second time.
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