Let S 1 and S 2 be the two switches and let their probabilities of working be given by P(S 1 ) = 4/5 and P(S 2 ) = 9/10. Find the probability that the current flows from the terminal A to terminal B when S 1 and S 2 are installed in series, shown as follows:

Question

Philoid · Accepted Answer

Given: S₁ and S₂ are two swiches whose probabilities of working be given by

P(S₁) = and P(S₂) =

To Find: the probability that the current flows from terminal A to terminal B when

S₁ and S₂ are connected in series.

Now, since the current in series flows from end to end

the flow of current from terminal A to terminal B is given by

P(S₁ S₂) = P(S₁) P(S₂)

=

Therefore, The probability that the current flows from terminal A to terminal B when S₁ and S₂ are connected in series is

Let S1 and S2 be the two switches and let their probabilities of working be given by P(S1) = 4/5 and P(S2) = 9/10. Find the probability that the current flows from the terminal A to terminal B when S1 and S2 are installed in series, shown as follows:

Let S₁ and S₂ be the two switches and let their probabilities of working be given by P(S₁) = 4/5 and P(S₂) = 9/10. Find the probability that the current flows from the terminal A to terminal B when S₁ and S₂ are installed in series, shown as follows: