The probability for him to pass an audition is 0.9. Recently he’s got two auditions. One is a film and the role he is auditioning for is ‘Al-Pacino’s back’! The other is an advertisement for NYC free clinic where he has to play ‘Mario’ who has a venereal disease!
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.
i) Joey is a struggling “actor-slash-model”. He’s trying hard to get roles in films, plays and advertisements. Unfortunately, his chance to qualify auditions for ‘insignificant’ roles is pretty high. The probability for him to pass an audition is 0.9. Recently he’s got two auditions. One is a film and the role he is auditioning for is ‘Al-Pacino’s back’! The other is an advertisement for NYC free clinic where he has to play ‘Mario’ who has a venereal disease!
b. What is the probability that he gets to play at least one of the roles? [You must give the answer in decimal form (upto 2 decimal places) or in percentage form (upto 2 decimal places)]
ii) Joey has a huge fan base now and it’s increasing everyday after he portrayed a famous neurosurgeon, ‘Dr. Drake Ramoray’ in a soap opera called Days of our lives. On every weekend, he sees one of his ANONYMOUS fans and it’s quite possible for him to see someone more than once because of his forgetful nature. 70% of his fans are girls.
b. What is the probability that he’ll never get to see any of his fangirl? (Lets say, he can see his fans on weekends even after death!!) [You must give the answer in decimal form (upto 2 decimal places) or in percentage form (upto 2 decimal places)]
iii) One day, Erika, a big fan with a bigger psychiatric disorder, knocks on Joey’s door. She really takes Joey for “Dr. Drake Ramoray”, the neurosurgeon he plays on TV. Being fascinated by Drake on the show, she wants Joey to marry her! As an attempt of engagement, she tries to put 5 different rings on 5 fingers of his left hand!
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