Posted by **PHYSICS** on Saturday, June 25, 2011 at 2:23am.

What is the probability that the bulb is glowing for a circuit set up as:

|-------------(Bulb)-----------|

| |

| | (Voltage) |

| |

| |

|----(Switch-1)---(Switch-2)---|

- physics........... -
**Damon**, Saturday, June 25, 2011 at 4:10am
probability that a switch is on = p, therefore probability that it is off = (1-p)

There are four possible configurations for the switches

1. A and B off [(1-p)(1-p)]

2. A and B on [ p * p ]

3. A on, B off [ p (1-p)]

4. B on, A off [ (1-p)p }

Only #2 leads to light.

so

p*2 = p^2

if p = 1/2

then 1/4

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