Question

Consider the sample space consisting of the letters of the alphabet {?,?,?,?,?,?,?,ℎ,?,?}. Furthermore define the events...

Consider the sample space consisting of the letters of the alphabet {?,?,?,?,?,?,?,ℎ,?,?}. Furthermore define the events ?={?,?,?,?,?}; ?={?,?,ℎ,?} Find the probability of: i. ? ii. ? iii. ?∩? iv. ?∪?

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Answer #1

Sample space S = { a,b,c,d,e,f,g,h,i,j }

E = { a,c,d,f,g } B = { a,g,h,i }

Where E , B are two events.

Probability of an event = the number of elements in the event / total number of elements in the sample.

(i) So P(E) = 5/10 = 0.5

(ii) P(B) = 4/10 = 0.4

E B = { a,g } and E B = { a,c,d,f,g,h,i }

(iii) P(E B) = 2/10 = 0.2

(iv) P(E B) = 7/10 = 0.7

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