Practice Problem 2: Finding the Probability of Independent Events Picnic At a picnic there are 10 diet drinks and 5 regular drinks. There are also 8 bags of fat-free chips and 12 bags of regular chips. If you grab a drink and a bag of chips without looking, what is the probability that you get a diet drink and fat-free chips? Pldiet deiak) P (fan free) Plagaar drink) PCrequer chies

Q: When two balanced dice are rolled,there are 36 possible outcomes.What is the probability that the…

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Q: If you roll 5 fair 6-sided dice, what is the probability that you only have even rolls 2, 4, 6

A: When a fair die is rolled, there are 6 possible outcomes. Any of these outcomes can occur. As the…

Q: Rolling three four-sided dice, what is the probability of totaling at least 9?   Is there a way to…

A: The dice have four sides then the outcomes are 1, 2, 3, & 4.  Three dice have rolled, so the…

Q: Lots of games like tennis have a concept of deuce, where if the game is ties at the end you have to…

A: The probability of winning the game is obtained below:From the given information, there are two…

Q: What is the probability that atleast one die shows the number 1?

A: Each die has 4 sides. And the numbers on them are 1, 2, 3, 4. So we can not get 1 for 3 ways. {2, 3,…

Q: If three balanced dice are rolled, whats the probability that all three dice will be the same?

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Q: Two dice are tossed . What is the probability of not getting doubles?

A: Total number of possible outcomes when we roll a dice is 6.So, total number of possible outcomes…

Q: When rolling two dice, what sum on the dice is most probable?  What is the probability?

A: Sample set for rolling two dice S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)       (2,1) (2,2) (2,3)…

Q: If two fair dice are rolled what is the probability that a total showing is more than three

A: The objective of this question is to find the probability that the sum of the numbers on two dice is…

Q: Two dice are rolled. The sum of the dice is a 2 or 3. Compute the probability of the compound event…

A: We have given that,  Tw dice are rolled the the sample space (s) is,  s = {(1,1), (1,2),…

Q: like chess dislike chess Female 40 35 Male 60 50

A: Given, The data table is:   Like chess Dislike chess Total Female  40 35 75 Male 60 50 110…

Q: Two standard dice are rolled. What is the probability that the sum of the two dice is less than 9?

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Q: Question 16 Suppose a jar contains 10 red marbles and 10 blue marbles. If you reach in the jar and…

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Q: Three six-sided dice are rolled. What is the probability that the sum on the dice faces equals 4?

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Q: 5) Students in a political science course were asked to describe their politics as "Liberal",…

A: This is Conditional probability question

Q: pair of dice is rolled. What is the probability that their sum is odd or less than 8?

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Q: Dree rolls a strike in 6 out of the 10 frames of bowling . What is the experimental probability that…

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Q: g - box of writing utensils on a teacher's desk contains 3 red pencils, 7 green pencils, 9 red…

A: Total number of utensils =23 Number of red utensils =A=12 Number of green utensils=B=13

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.