A factory produces a large number of electric cars. A car is chosen at

aidmoong7

aidmoong7

Answered question

2021-11-14

A factory produces a large number of electric cars. A car is chosen at random from the production line as a prize in a competition. The probability that the car is blue is 0.5. The probability that the car has five doors is 0.3. The probability that the car is blue or has five doors is 0.6. Find the probability that the car chosen is not blue and does not have five doors.

Answer & Explanation

Alrew1959

Alrew1959

Beginner2021-11-15Added 16 answers

Given: 
The probability that the car is blue is 0.5, while the likelihood that it has five doors is 0.3. The probability of the car is either blue or has five doors is 0.6.
To find the probability of car neither has five doors nor is it blue..
Explanation: 
The likelihood that the car is blue is 0.5, and the likelihood that it has five doors is 0.3.
The probability of the car is blue or has five doors is 0.6 
P(B)=0.5P(F)=0.3P(BF)=0.6 
To determine the likelihood that the car is neither blue nor has five doors:
P(BF)=P(B)+P(F)P(BF) 
=0.5+0.30.6 
=0.2 
P(BF)=1P(BF) 
Therefore, the probability of the car is not blue and does not have five doors is 0.8

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