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Wewaii [24]
3 years ago
8

118 cars were sold during the month of April. 68 had air conditioning and 61 had automatic transmission. 44 had air conditioning

only, 37 had automatic transmission only, and 13 had neither of these extras. What is the probability that a randomly selected car had automatic transmission or air conditioning or both?
Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
8 0

Answer:

88.98% probability that a randomly selected car had automatic transmission or air conditioning or both

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes:

37 had automatic transmission only

44 had air conditioning only

61 had automatic transmission

This already counts those with both automatic transmission and air conditioning. So 61-37 = 24 had both.

So D = 37 + 44 + 24 = 105

Total outcomes:

118 cars sold, so T = 118.

What is the probability that a randomly selected car had automatic transmission or air conditioning or both?

p = \frac{D}{T} = \frac{105}{118} = 0.8898

88.98% probability that a randomly selected car had automatic transmission or air conditioning or both

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