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Q.

State true or false.


Anu, Priya and Jyoti were fighting to get the first chance in a game. Anu says, "let us toss two coins. If both heads appear, Priya will take first chance, if both tails appear Jyoti will get it and if one head and one tail appears, I will get the chance". Then her decision was fair.


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a

True

b

False 

answer is B.

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Detailed Solution

Given, Anu, Priya and Jyoti were fighting to get the first chance in a game. Anu says, "let us toss two coins. If both heads appear, Priya will take first chance, if both tails appear Jyoti will get it and if one head and one tail appears, I will get the chance".
The probability of an event to be occurred is the division of the number of favourable outcomes by the total number of outcomes that is,
   Probability of an cvent =  Number of favourable outcomes   Total number of outcomes   
Determine the most favourable outcome so that Anu has a chance.
If one head and one tail appear, Anu gets first chance at ht and th.
The number of favourable outcomes for Anu is 2.
Determine the most favourable outcome so that Priya has a chance.
If both heads appears, the favourable outcome is that Priya gets first chance.
The number of favourable outcomes for Priya is 1.
Determine the most favourable outcome so that Jyoti has a chance.
The favourable outcome that Jyoti gets first chance if both heads appear is tt.
The number of favourable outcomes for Jyoti is 1.
It is seen that the numbers of favourable outcomes for Anu, Priya and Jyoti are not equal. As a result, Anu’s decision was not fair.
So, the given statement is false.
Hence the correct option is 2.
 
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