#1: A probability experiment is conducted in which the sample space of the exper
ID: 2711531 • Letter: #
Question
#1: A probability experiment is conducted in which the sample space of the experiment is S = {1,2,3,4,5,6,7,8,9,10, 11, 12}, event F = {4,5,6,8} and event G = {9, 10, 11}.Assume that each outcome is equally likely. List the outcomes in F or G. Find P(For G) by counting the number of outcomes in F or G. Determine P(F or G) using the general addition rule.
#2: Let the sample space be S = {1,2,3,4,5,6}. Suppose the outcomes are equally likely? Compute the probability of the event E - "an even number less than 4"
Explanation / Answer
List the outcomes in F or G
Outcomes of F or G = (Outcomes of F) U (outcomes of G)
= {4,5,6,8} U {9, 10, 11}
= {4,5,6,8,9, 10, 11}
Probability of G
Probability of G = n(G)/ n(FUG)
= 3 / 7
= 42.86%
Probability of F or G
Probability of G = n(FUG)/ n(FUG)
= 7 / 7
= 100%
2)
Even number less than 4 is only 2 here. So possible outcomes are 6and desired outcome is only 1.
Probability = Possible outcome/ Desired outcome
= 1/6
=16.67%
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