if a die thrown 3 times what is the probability that 5 will not come up at the time and 5 will come up at least once
Answers
Answer:
1/5
Step-by-step explanation:
because there is at least 1 % chance of 5 coming after the die thrown
Step-by-step explanation:
Solution:
Total number of outcomes when die is thrown twice = 6 × 6 = 36.
(i) Number of possible outcomes when 5 will come up either time = (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (1, 5), (2, 5), (3, 5), (4, 5), (6, 5) = 11
Probability that 5 will come up either time = Number of possible outcomes/Total number of favourable outcomes
= 11/36
The probability that 5 will not come up either time = 1 - 11/36
= 25/36
(ii) Number of possible outcomes when 5 will come up at least once = 11
The probability that 5 comes up at least once = Number of possible outcomes/Total number of favourable outcomes
= 11/36
The probability that 5 will not come up either time is 25/36 and the probability that 5 will come up is 11/36.