The placemats, plates and napkins are already set; you are given 4 forks, 4 knives, and 4 spoons to complete the job. However, you decide it would be more fun to randomly place the 12 pieces of cutlery on the table, rather than doing it properly as shown. In a nod to convention, you do place 1 item to the left and 2 to the right of the plate, with the handles down (that is, not upside down). What is the probability that you get it right, that is, that each setting receives the proper utensils in the proper positions? (The size/shape of the table and position of the settings on the table doesn't matter.)
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.
Hi this is how the question is. No additional info is given.
From the given information, there are 4 forks, 4 knives and 4 spoons to complete the job.
That is, there are 12 pieces of cutlery on the table.
We need to place one item on the left and two items to the right of the plate.
The number of ways for selecting 1 fork from 4 forks, 1 spoon from 4 spoons and 1 knive from 4 knives is,
Step by step
Solved in 2 steps
