When Two Unbiased Dice Are Tossed Simultaneously, The Numbers That Appear On The Top Surface Of The Two Dice Are A And B.What Is The Probability That A^b Is A Perfect Square? (a^b=a To The Power Of B)

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Hanumant  Gade Profile
Hanumant Gade answered
Probability is 2/3.
Anonymous Profile
Anonymous answered
2/3
Anonymous Profile
Anonymous answered
2/3
Oddman Profile
Oddman answered
For A^B to be a perfect square, B must be an even number. The probability that one die will show an even number is 1/2.
If you label the dice A and B before you throw them, the probability is 1/2.
If you choose an even number for B after you throw them, the probability is 3/4 that there will be an even number.
If you choose an odd number for B after you throw them, the probability is 1/4 that there will not be an odd number, so B must be even.
Anonymous Profile
Anonymous answered
1/3

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