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e-lub [12.9K]
2 years ago
14

In a survey of a community, it was found that 85% of the people like winter season and 65% like summer season. If none of them d

id not like both seasons
i) what percent like both the seasons
​
Mathematics
1 answer:
KengaRu [80]2 years ago
6 0

Answer:

50%

Step-by-step explanation:

Let :

Winter = W

Summer = S

P(W) = 0.85

P(S) = 0.65

Recall:

P(W u S) = p(W) + p(S) - p(W n S)

Since, none of them did not like both seasons, P(W u S) = 1

Hence,

1 = 0.85 + 0.65 - p(both)

p(both) = 0.85 + 0.65 - 1

p(both) = 1.50 - 1

p(both) = 0.5

Hence percentage who like both = 0.5 * 100% = 50%

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Make bottom numbers same
find least common multipules of 8,12,4 and 3
8=2 times  2 times 2
12=2 times 2 times 3
4=2 times 2
3=3
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5/8 times 3/3=15/24
5/12 times 2/2=10/24
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15/24-10/24(66/24)+16/24
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84/576
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answer is 7/48
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