3 coins has been tossed what is the probobility gatting atmost 2tails
Answers
3 coins has been tossed what is the probability getting almost 2tails
solutions:
When three coins are tossed together, the total number of outcomes =8
i.e., (HHH,HHT,HTH,THH,TTH,THT,HTT,TTT)
Solution (I):
(i) Let E be the event of getting exactly two heads
Therefore, no. of favorable events, n(E)=3(i.e., HHT, HTH, THH)
We know that, P(E) = (No. of favorable outcomes) / (Total no.of possible outcomes) = 3/8
(ii)
Let F be the event of getting almost two heads
Therefore, no. of favorable events, n(E)=7(i.e., HHT, HTH, TTT, THH, TTH, THT, HTT)
We know that, P(F) = (No. of favorable outcomes) / (Total no. of possible outcomes) = 7/8
(iii)
Let H be the event of getting at least one head and one tail
Therefore, no. of favorable events, n(H)=6(i.e., HHT, HTH, THH, TTH, THT, HTT)
We know that, P(H) =
(No. of favorable outcomes) / (Total no. of possible outcomes)
= 6/8 = 3/4
(iv) Let I be the event of getting no tails
Therefore, no. of favorable events, n(I)=1(i.e.,HHH)
We know that, P(H) =
(No. of favorable outcomes) / (Total no. of possible outcomes)
= 1/8
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