10.1 A, B and C are three events. The probabilities of these events (or any combination...

  

  

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10.1 A, B and C are three events. The probabilities of these events (or any combination of them) occurring is given in the Venn-diagram below 10.2 10.1.1 10.1.2 10.2.1 A 10.2.2 0,05 0,1 0,15 x 0,183 0,2 0,05 B C If it is given that the probability that at least one of the events will occur is 0,893, calculate the value of y, the probability that none of the events will occur. x, the probability that all three events will occur. 10.1.3 A four-digit code is required to open a combination lock. The code must be even-numbered and may not contain the digits 0 or 1. Digits may not be repeated. How many possible 4-digit combinations are there to open the lock? (b) Determine the probability that at least two of the events will take place. Are events B and C independent? Justify your answer. Calculate the probability that you will open the lock at the first attempt if it is given that the code is greater than 5 000 and the third digit is 2. Given f(x)=x². Determine the minimum distance between the point (10; 2) and a point on f. 10.1 A, B and C are three events. The probabilities of these events (or any combination of them) occurring is given in the Venn-diagram below 10.2 10.1.1 10.1.2 10.2.1 A 10.2.2 0,05 0,1 0,15 x 0,183 0,2 0,05 B C If it is given that the probability that at least one of the events will occur is 0,893, calculate the value of y, the probability that none of the events will occur. x, the probability that all three events will occur. 10.1.3 A four-digit code is required to open a combination lock. The code must be even-numbered and may not contain the digits 0 or 1. Digits may not be repeated. How many possible 4-digit combinations are there to open the lock? (b) Determine the probability that at least two of the events will take place. Are events B and C independent? Justify your answer. Calculate the probability that you will open the lock at the first attempt if it is given that the code is greater than 5 000 and the third digit is 2. Given f(x)=x². Determine the minimum distance between the point (10; 2) and a point on f.

Answer rating: 100% (QA)

SOLUTION 101 a To calculate the probability that none of the events will occur y we need to find the complement of the probability that at least one of the events will occur The complement is equal to ... View the full answer