a coin is tossed thrice. find the probability of getting exactly two heads or at least one tail or two consecutive heads
Answers
If a coin is tossed thrice:
S = {HHH, TTT, HHT, HTH, THH, TTH, THT, HTT} = 8
You have to write this formula for every ans:
Probability = No. of favourable outcomes
-----------------------------------------
Total no. of outcomes
(i) Getting exactly 2 heads:
S = {HHT, HTH, THH} = 3
Probability = No. of favourable outcomes
-----------------------------------------
Total no. of outcomes
= 8/3
(ii) Getting at least 1 tail:
S = {TTT, HHT, HTH, THH, TTH, THT, HTT} = 7
Probability = No. of favourable outcomes
-----------------------------------------
Total no. of outcomes
= 7/8
(iii) Getting 2 consecutive heads:
S = {HHT, THH} = 2
Probability = No. of favourable outcomes
-----------------------------------------
Total no. of outcomes
= 2/8
= 1/4
Have a nice day <3