A Confusing Probability Question
Does anyone know how to solve this question from A-level maths. Since it is a-level statistics, I hope that the answer is not very complicated.
A machine has three parts A, B and C. The machine fails if A fails and
either B or C fails. The probabilities of the three parts failing are 0.2, 0.1
and 0.3 respectively. Assuming that the parts fail independently, what is
the probability that the machine fails?
thanks in advance.
Jacky
A machine has three parts A, B and C. The machine fails if A fails and
either B or C fails. The probabilities of the three parts failing are 0.2, 0.1
and 0.3 respectively. Assuming that the parts fail independently, what is
the probability that the machine fails?
thanks in advance.
Jacky
Original post by jck93
Does anyone know how to solve this question from A-level maths. Since it is a-level statistics, I hope that the answer is not very complicated.
A machine has three parts A, B and C. The machine fails if A fails and
either B or C fails. The probabilities of the three parts failing are 0.2, 0.1
and 0.3 respectively. Assuming that the parts fail independently, what is
the probability that the machine fails?
thanks in advance.
Jacky
A machine has three parts A, B and C. The machine fails if A fails and
either B or C fails. The probabilities of the three parts failing are 0.2, 0.1
and 0.3 respectively. Assuming that the parts fail independently, what is
the probability that the machine fails?
thanks in advance.
Jacky
Well they are independent so you can simply multiply the probabilities and the only times the machine fails is either when A and B occur and A and C occur.
Original post by jck93
Does anyone know how to solve this question from A-level maths. Since it is a-level statistics, I hope that the answer is not very complicated.
A machine has three parts A, B and C. The machine fails if A fails and
either B or C fails. The probabilities of the three parts failing are 0.2, 0.1
and 0.3 respectively. Assuming that the parts fail independently, what is
the probability that the machine fails?
thanks in advance.
Jacky
A machine has three parts A, B and C. The machine fails if A fails and
either B or C fails. The probabilities of the three parts failing are 0.2, 0.1
and 0.3 respectively. Assuming that the parts fail independently, what is
the probability that the machine fails?
thanks in advance.
Jacky
You can just draw a tree diagram and add up the probabilities of A and B failing and of A and C failing
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