Match each description with its symbolic representation.1. P(A)2. PAB)3. P(AUB)The probability that event A occursgiven the fact that event B occursThe probability that either event Aor event B occursThe probability that both events Aand B do not occur together, but eithermay occur by itselfThe probability that neither event Aor event B occursThe probability that event A occursThe probability that both event Aand event B occur4. 1 - P(ANB)5. 1- P(AUB)6. P(AIB)NEYT QUESTIONASY OR WIPTURN IT IN

Answer:i) P(A) ; The probability that event A occursii) P(AB) ; The probability that both event A  and event B occuriii) P(AUB) ; The probability that either event A  or event B occursiv) 1 - P(ANB) ; The probability that both events A  and B do not occur                                 together, but either  may occur by itselfv) 1- P(AUB) ; The probability that neither event A  or event B occursvi) P(AIB) ; The probability that event A occurs  given the fact that event B occursStep-by-step explanation:i) P(A) simply represents the probability that an event A will occur. This event could be passing an examination, having snow in summer, arriving to work on time and so forth.ii) P(AB) is simply the probability that both event A  and event B do occur. This is usually given by the product of the individual probabilities. Event A could be rolling a 6 in one throw of a fair die while B could be the event that a fair coin lands heads in a single toss.iii)P(AUB) refers to the probability that either event A  or event B occurs. This is read out as the probability of A union B. This is usually given by the sum of the individual probabilities.iv) 1 - P(ANB) is the probability that both events A  and B do not occur                                 together, but either  may occur by itself. P(ANB) is the probability that both events A  and B occur together. This is read out as the probability of A intersection B. Therefore implying that 1 - P(ANB) is simply the probability that either event A or B occurs but A and B can not occur together.v) 1- P(AUB) refers to the probability that neither event A  or event B occurs. Earlier we defined P(AUB) as the probability that either event A  or event B occurs. 1- P(AUB) simply the complement of P(AUB).vi) P(AIB) refers to the probability that event A occurs  given the fact that event B occurs. This is a conditional probability event which evaluates the likelihood of an event A occurring given that an associated event B has already occurred