There are 6! = 720 ways of arranging the lamps.
If the leftmost lamp is red, there are 3 choices of lamp in the leftmost position, and the remaining 5 can be placed in any order, so there are 3×5! = 360 ways of arranging the lamps and the leftmost is red.
Hence there is a 360/720 = 1/2 probability that the leftmost lamp is red.
Ignoring lamp color for the moment, the probability of arranging 3 lit lamps and 3 unlit lamps is the same, 1/2.
Since Ryan arranges the lamps randomly by color, then turns 3 of them on randomly, the two events are independent. So
P(leftmost red AND leftmost lit) = P(red) × P(lit) = 1/2² = 1/4
Answer:
the probability of both spinners land on 2 is 1/12
Step-by-step explanation:
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Could you put the whole question or the answer choices?
Answer:
h=1.27 in.
Step-by-step explanation:
V=πr^2h
Plugin the values and solve
36=π(3)^2h
36/9π=h
h=1.27323954
Answer:
There are 480 total lockers in the school.
