Question

three fair coins are tossed once , use tree diagram to find the probability of getting:
a).same outcome .
b).two heads and one tail (in that order).
c).two tails and one head( in any order).
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Answer 1

Answer:

Step-by-step explanation:

When we toss three coins simultaneously then the possible of outcomes are:

HHH or HHT or HTH or THH or HTT or THT or TTH or TTT respectively;

Where H is denoted for head and T is denoted for tail.

Therefore, total numbers of outcome are 2 power 3 = 8

(i) Exactly two heads

Favourable cases ={HHT,HTH,THH}

Probability of getting exactly two heads =  3/8

(ii) At least two heads

Favourable cases ={HHH,HHT,HTH,THH}

Probability of getting at least two heads =  4/8=1/2

(iii) At least two tails

Favourable cases ={HTT,THT,TTH,TTT}

Probability of getting at least two tails =  4/8=1/2

Answer 2

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