three coins are tossed together. find the probability of getting at least one tail
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7
Answer:
7/8
Step-by-step explanation:
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ANS: Let ‘S’ be the sample – space. Then S = { HHH, HHT, HTH, THH, HTT, THT, TTH, TTT }
(i) Let ‘E1’ = Event of getting all heads, Then E1 = { HHH }
|E1| = 1
P(E1) = |E1| / |S| = 1 / 8
(ii) Let E2 = Event of getting ‘2’ heads. Then:
E2 = { HHT, HTH, THH }
|E2| = 3
P (E2) = 3 / 8
(iii) Let E3 = Event of getting at least one head. Then:
E3 = { HHH, HHT, HTH, THH, HTT, THT, TTH }
|E3| = 7
P (E3) = 7 / 8
(iv) Let E4 = Event of getting at least one head, Then:
E4 = { HHH, HHT, HTH, THH, }
|E4| = 4
P (E4) = 4/8 = 1/2
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