A class is taking a multiple choice exam. There are 77 questions and 33 possible answers for each question where exactly one answer is correct. How many different ways are there to answer all the questions on the exam?    Use the information above and below to determine the probabilities. Enter your answers as percents rounded to four decimal places. A student who didn't study randomly guessed on each question. a) What is the probability the student got all of the answers correct?    % b) What is the probability the student got all of the answers wrong?    % c) What is the probability the student got questions 11 and 77 correct and the rest of the answers wrong?    %

Q: bag contains 4 red chips, 5 blue chips, and 3 green chips. If Susie selects a chip from the bag,…

A: Total chips=4(red)+5(blue)+3(green)=12

Q: There are thirteen female board members and seventeen male board members. How many ways are there…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: Assume that you guess on each question of a multiple choice test. There are 12 questions and each…

A: Given Data: The number of questions is: n=12 The possible answers to each question are: r=4 The…

Q: Twenty horses ran in the 2016 Kentucky Derby. The Trifecta bet involves picking the first three…

A: given data  twenty horses participate in race, pick first 3 finishers in order no. of outcomes to…

Q: A basketball player has a free throw percentage of 95%95%. What is the probability she misses at…

A: Binomial distribution:The binomial distribution gives the probability of number of successes out of…

Q: A bag contains 4 red chips, 5 blue chips, and 3 green chips. Bobby selects two chips from the bag…

A: Given,Number of red chips = 4Number of blue chips = 5Number of green chips = 3So, total number of…

Q: You randomly select a card from a 52 card deck. Find the probability of selecting a 3 or 7.

A:

Q: 60% of all bald eagles survive their first year of life. Give your answers as decimals, not…

A: Given that n=36, p=60%=0.60, X~Binomial(n=36,p=0.60) X be the number of all bald eagles survive…

Q: Determine the probability that the committee consists of six faculty and two administrators.

A:

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.