three unbiased coins are tossed together what is the probability of getting
a) two head b)at least two head c)at most 2 head d)no tail
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Answered by
1
hey mate here is your answer
When 3 unbiased coins are tossed, the sample space is {HHH, HTH, HHT, THH, THT, TTH, HTT, TTT] = 8
Event of getting two heads = {HTH, HHT, THH} = 3
P(Two Heads) = 3/8
Event of getting At least two heads (two or more than 2 heads) = {HHH, HTH, HHT, THH} = 4
P(At least Two Heads) = 4/8 = 1/2
Event of getting No heads = {TTT} = 1
P(No Heads) = 1/8
hope it help
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When 3 unbiased coins are tossed, the sample space is {HHH, HTH, HHT, THH, THT, TTH, HTT, TTT] = 8
Event of getting two heads = {HTH, HHT, THH} = 3
P(Two Heads) = 3/8
Event of getting At least two heads (two or more than 2 heads) = {HHH, HTH, HHT, THH} = 4
P(At least Two Heads) = 4/8 = 1/2
Event of getting No heads = {TTT} = 1
P(No Heads) = 1/8
hope it help
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Anonymous:
mark me as brainliest
Answered by
4
Step-by-step explanation:
Total number of coins = 3
Possible outcomes n(S) = {HHH, TTT, TTH, THT, HTT, THH, HTH, HHT}
= 8
(a) Two heads:
Let E = getting two heads
n(E) = {HHT, HTH, TTH} = 3
P(E) = n(E)/n(S)
= 3/8
(b) At least two heads:
Let E = At least two heads.
n(E) = {THH, HTH, HHT, HHH} = 4
P(E) = 4/8
= 1/2.
(c) at most 2 heads:
Let E = at most 2 heads.
n(E) = {TTH, THT, HTT, THH, HTH, HHT, HHH} = 7
P(E) = 7/8
(d) No Tail:
E = no tail
n(E) = {HHH}
P(E) = 1/8
Hope it helps!
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