If the probability of two cars starting on a cold morning is 0.

To find the probability of at least one car starting on a cold morning, we can use the complement rule.

Determine the probability of one car not starting:

Probability of a car starting: P(start)=0.6P(\text{start}) = 0.6P(start)=0.6

Probability of a car not starting: P(not start)=1−0.6=0.4P(\text{not start}) = 1 - 0.6 = 0.4P(not start)=1−0.6=0.4

Determine the probability of neither car starting:

Since the cars are independent, the probability of both cars not starting is: P(both not start)=0.4×0.4=0.16P(\text{both not start}) = 0.4 \times 0.4 = 0.16P(both not start)=0.4×0.4=0.16

Determine the probability of at least one car starting:

P(at least one starts)=1−P(both not start)=1−0.16=0.84P(\text{at least one starts}) = 1 - P(\text{both not start}) = 1 - 0.16 = 0.84P(at least one starts)=1−P(both not start)=1−0.16=0.84

References: Basic principles of probability and complement rule from standard probability texts.