wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Three coins are tossed once. Let A denote the event 'three heads show", B denote the event "two heads and one tail show" C denote the event "three tails show" and D denote the event 'a head shows on the first coin" Which events are
(i) mutually exclusive?
(ii) simple?
(iii) compound?

Open in App
Solution

When three coins are tossed the sample space is given by,
S={HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}
A={HHH}
B={HHT,HTH,THH}
C={TTT}
D={HHH,HHT,HTH,HTT}
AB=ϕ
AC=ϕ
AD={HHH}ϕ
BC=ϕ
BD={HHT,HTH}ϕ
CD=ϕ
(i) Event A and B; event A and C; event B and C; and event C and D are all mutually exclusive.
(ii) If an event has only one sample point of a sample space, it is called a simple event.
Thus A and C are simple events.
(iii) If an event has more than one sample point of a sample space it is called a compound event. Thus B and D are compound events

flag
Suggest Corrections
thumbs-up
0
similar_icon
Similar questions
View More
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Events
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon