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Question

Two coins are tossed simultaneously 360 times. The number of times ‘2 Tails’ appeared was three times that when ‘No Tail’ appeared and the number of times ‘1 Tail’ came was double the number of times ‘No Tail’ appeared. Find the probability of getting ‘Two Tails’.


A
0.25
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B
1
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C
0.5
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D
2
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Solution

The correct option is A 0.5
Let the no. of times 'No Tail' appeared = x.
No. of times '1 Tail' appeared = 2x.
No. of times '2 Tails' appeared = 3x.
x + 2x + 3x = 360
x=60
No. of times 2 Tail appeared =  3 x 60 = 180
Then,  P(Getting 2 Tails)=180360=0.5

Mathematics

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