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19.) 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)
a)1/3
b)2/3
c)23/36
d)11/18
ans:
20.) 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)5/36
b) 2/9
c) 7/36
d) 1/6
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Answer / abhishek
19 d.
for any number of a(1-6) and for b(2,4,6) the resultant a^b will be a perfect square hence probability + for a=4,1 and b=1 =(6C6 * 6C3)/36 +(6C1 * 6C1)/36+1/36=22/36=11/18
| Is This Answer Correct ? | 2 Yes | 1 No |
Answer / dipashri
19) answer= d)11/18
a=1 & b= 1/2/3/4/5/6 (6 possibilities)
a=2/3/5/6 & b=2/4/6 (12 possibilities)
a=4 & b=1 (1 possibility)
18/6=11/18
| Is This Answer Correct ? | 2 Yes | 2 No |
Answer / dipashri
19) answer= d)11/18
a=1 & b= 1/2/3/4/5/6 (6 possibilities)
a=2/3/5/6 & b=2/4/6 (12 possibilities)
a=4 & b=1/2/4/6 (4 possibilities)
22/36=11/18
20) answer= b) 2/9
a=1 b=1/4 (2 possibilities)
a=2 b=2
a=3 b=3
a=4 b=1/4 (2 possibilities)
a=5 b=5
a=6 b=6
answer= 8/38=2/9
| Is This Answer Correct ? | 1 Yes | 1 No |
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