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What is the probability that the leftmost lamp and the leftmost lamp which is turned on are both red?
Ryan has 3 red lava lamps and 3 blue lava lamps. He arranges them in a row on a shelf randomly, then turns 3 random lamps on. What is the probability that the leftmost lamp on the shelf is red, and the leftmost lamp which is turned on is also red?
half the time, the leftmost lamp is turned on.
in this case, the condition is satisfied if it is red, fails if it is blue.
now suppose the leftmost lamp is off.
then to satisfy the condition, it must be red (1/2) and so must the leftmost lit lamp(2/5)
(1/2)(1/2) + (1/2)(1/2)(2/5) = 7/20
Black Stone Cherry - Hell and High Water




































































































