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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.

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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: Select the correct answer from above options

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Given: S1 and S2 are two swiches whose probabilities of working be given by P(S1) = 4 5 and P(S2) = 9 10 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) x P(S2) = 4 5 × 9 10 = 18 25 Therefore, The probability that the current flows from terminal A to terminal B when S1 and S2 are connected in series is 18 25

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