Q1. Three dices (red, green and blue) are thrown at same time. What is the proba
ID: 3128978 • Letter: Q
Question
Q1. Three dices (red, green and blue) are thrown at same time. What is the probability that all dices add equal to 8. ----------
Q2. Probability that a student passes a Math exam is (4/8) and that he passes a Chemistry exam is (5/6). If the probability that he passes both exams is (1/4), find the probability that he is pass at least one exam. -----------
Q3. Find the probability of not getting a 3 or 5 while throwing a dice.
Q1. Three dices (red, green and blue) are thrown at same time. What is the probability that all dices add equal to 8. ----------
Q2. Probability that a student passes a Math exam is (4/8) and that he passes a Chemistry exam is (5/6). If the probability that he passes both exams is (1/4), find the probability that he is pass at least one exam. -----------
Q3. Find the probability of not getting a 3 or 5 while throwing a dice.
Q1. Three dices (red, green and blue) are thrown at same time. What is the probability that all dices add equal to 8. ----------
Q2. Probability that a student passes a Math exam is (4/8) and that he passes a Chemistry exam is (5/6). If the probability that he passes both exams is (1/4), find the probability that he is pass at least one exam. -----------
Q3. Find the probability of not getting a 3 or 5 while throwing a dice.
Q1. Three dices (red, green and blue) are thrown at same time. What is the probability that all dices add equal to 8. ----------
Q2. Probability that a student passes a Math exam is (4/8) and that he passes a Chemistry exam is (5/6). If the probability that he passes both exams is (1/4), find the probability that he is pass at least one exam. -----------
Q3. Find the probability of not getting a 3 or 5 while throwing a dice.
Explanation / Answer
1. Events favouring (sum of 3 dices = 8) = [{1,1,6} , {1,2,5} , {2,2,4} , {2,3,3} , {1,3,4} ] * 3!
[3! because all 3 dices are different]
No. of favouring events = 5*3! = 5*6 = 30
Total possible events = 6*6*6 = 216
Prob (Sum is 8) = 30/216 = 5/36 = 0.1389
b. P(At least one exam passed) = P(Math or Chem) = P(Math) + P(Chem) - P(Math and Chem)
= (4/8) + (5/6) - (1/4) = 1.083 (There is something wrong with the question as probability cannot exceed 1)
c. P(not 3 or 5) = P(1) + P(2) + P(4) + P(6) = 4/6 = 2/3 = 0.67
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