A math class consist of 25 students , 14 female and 11 male. Three students are selected at random to participate in a probability experiment. Compute the probability that a. A male is selected , then two females b.a female is selected, the two males c. Two females are selected, then one male d. Three male are selected e. Three females are selected
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.
A math class consist of 25 students , 14 female and 11 male. Three students are selected at random to participate in a
a. A male is selected , then two females
b.a female is selected, the two males
c. Two females are selected, then one male
d. Three male are selected
e. Three females are selected
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It is given that there are 25 students.
There are 14 females and 111 males.
Three students are selected at random.
Total number of ways of selecting 3 students from the 25 students is 25C3.
a.
The number of ways of selecting a male from the 11 males is 11C1 and number of ways of selecting two females from the 14 females is 14C2.
The required probability is calculated as follows:
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