when three coins are tossed simultaneously find the probability of getting at least 2 tails
Answers
Answer:
Step-by-step explanation:
A coin has two sides head (H) and tail(T).
If we toss three coins then the possible outcomes are as follows:
(H,H,H) (H,H,T),(H,T,H),(T,H,H),(H,T,T),(T,H,T),(T,T,H) & (T,T,T)
SOLUTION:
Number of possible outcomes=8
{(H,H,H) (H,H,T),(H,T,H),(T,H,H),(H,T,T),(T,H,T),(T,T,H) & (T,T,T)}
Number of favourable outcomes (at least 2heads)=4
Probability (at least 2headd)= Number of favourable outcomes/total number of outcomes
Probability(P)(at least 2heads)= 4/8=½
P(at least 2 heads)= ½
Hence, the probability of getting at least 2 heads= ½.
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Answer:
Step-by-step explanation:
S=(TTT, THT, HHH, THH, HTT
, HHT, TTH, HTH)
Therefore, n(S) =8
Let A be the event of getting at least two tails
A=(TTT, THT, HTT, TTH)
Therefore n(A) =4
P(A)=n(A)/n(S)
= 4/8
=1/2