1. A fair dice is thrown 5 times. What is the probability of getting 1 dots out

Question

1. A fair dice is thrown 5 times. What is the probability of getting 1 dots out of these 5 rolls? Keep 5 significant digits
2. A fair dice is thrown once. A. What is the cardinality of the sample space? B. What is the probability of getting one dot given that even dots are gotten? C. What is the probability of getting 6 dots given that even dots are gotten? Keep 4 significant digits


1. A fair dice is thrown 5 times. What is the probability of getting 1 dots out of these 5 rolls? Keep 5 significant digits
2. A fair dice is thrown once. A. What is the cardinality of the sample space? B. What is the probability of getting one dot given that even dots are gotten? C. What is the probability of getting 6 dots given that even dots are gotten? Keep 4 significant digits



2. A fair dice is thrown once. A. What is the cardinality of the sample space? B. What is the probability of getting one dot given that even dots are gotten? C. What is the probability of getting 6 dots given that even dots are gotten? Keep 4 significant digits

Explanation / Answer

1. The question is not clear on if it is 1 dot 5 times or 1 dot atleast once.
P(1 dot 5 times) = (1/6)^5 = 0.00012860
P(1 dot atleast once) = 1 - P(1 dot 0 times) = 1 - (5/6)^5 = 0.59812

2. A) The cadinality of the sample space is 6(there are 6 possibilities)

B) P(1 dot | Even dots) = 0 as even dots are 2,4 and 6

C) P(6 dots | Even dots) = 1/3 (There are 3 even dot possibilities and 6 is one of them)

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