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  • (i) A coin is tossed 3 times. List the possible outcomes. Find the probability of getting all heads

A coin is tossed 3 times. List the possible outcomes. Find the probability of getting

(i) all heads
(ii) at least 2 heads

Answers (1)

(i) Answer. [1/8]
Solution.  Probability; Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
  Possible outcomes = (HHH, HHT, HTH, THH, TTT, TTH, THT, HTT)
Total cases = 8
Cases of getting all heads = (HHH)
Number of favourable cases = 1
Probability = \frac{Number\, of\, favourable\ cases }{Total\, number\, of\, cases}
Probability of getting all heads = \frac{1}{8}

(ii) Answer.[1/2]
Solution.  Probability; Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Possible outcomes = 8 (HHH, HHT, HTH, THH, TTT, TTH, THT, HTT)
Cases of getting at least 2 heads = (HHH, HHT, HTH, THH)
Favorable cases = 4
Probability = \frac{Number\, of\, favourable\ cases }{Total\, number\, of\, cases}
Probability of getting at least 2 heads = \frac{4}{8}= \frac{1}{2}
 



 

 

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