The Bangalore Police plan to enforce speed limits during the morning rush hour on four different routes into the city. The traps on routes A, B, C, and D are operated 40% , 30%, 20%, and 30% of the time, respectively. Raghu always speeds to work, and he has probability 0.2, 0.1, 0.5, and 0.2 of using those routes similar to Anish. What is the probability he’ll go five mornings without a ticket?
Answers
Step-by-step explanation:
P(L)
=0.2×0.4=0.08
=0.2×0.4=0.08Similarly, P(L 2)
=0.1×0.3=0.03
P(L 3)
=0.5×0.2=0.10
=0.5×0.2=0.10Since, the probabilities at these three locations are mutually exclusive, joint probability that he is fined is,
=0.5×0.2=0.10Since, the probabilities at these three locations are mutually exclusive, joint probability that he is fined is,P=0.08 + 0.03 + 0.10=0.21
0.10=0.21Hence, this is the is the required probability.
Answer:
The probability he will go five morning without a ticket is 0.21 .
Step-by-step explanation:
How to calculate the probability of he will go five mornings without a ticket?
Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true. The probability of an event is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.
Probability is simply the possibility that something will happen. When we don't know how something will turn out, we can talk about the possibility of one outcome or the likelihood of several. The study of events that fit into a probability distribution is known as statistics.
Given,
P(L)
=0.2×0.4=0.08
=0.2×0.4=0.08Similarly, P(L 2)
=0.1×0.3=0.03
P(L 3)
=0.5×0.2=0.10
=0.5×0.2=0.10Since, the probabilities at these three locations are mutually exclusive, joint probability that he is fined is,
=0.5×0.2=0.10Since, the probabilities at these three locations are mutually exclusive, joint probability that he is fined is ,P=0.08 + 0.03 + 0.10=0.21
Hence, this is the is the required probability 0.10 is 0.21
To Learn more about probability refer to :
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