1. Two slips are drawn from a bowl containing four slips, A, B, C and D. If the first slip is replaced before the second slip is drawn, list the sample space and the simple event.
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Step-by-step explanation:
Four slips marked as 1,2,3,4 are in a box. Two slips are drawn from it one after the other without replacement
The sample space S for the experiment is
S={(1,2),(1,2),(1,4),(2,1),(2,3),(2,4),(3,1),(3,2),(3,4),(4,1),(4,2),(4,3)}
A= number on the first slip is larger than one on the second slip ={(2,1),(3,1),(3,2),(4,1),(4,2),(4,3)}
B= number on the second slip is greater than 2
={(1,3),(2,3),(1,4),(2,4),(3,4),(4,3}
C= sum of the number on the 2 slips is 6 or 7
={(2,4),(3,4),(4,2),(4,3)}
D= number on the second slip is 2 times the number on first slip
={(1,2),(2,4)}
Clearly (A∩D)=ϕ
∴A and D are mutually exclusive events
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