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
lets use x as the variable in this situation
x > -2 or x is greater than negative two.
hope this helps
Answer:
8/5
Step-by-step explanation:
You can rewrite the equation to 2/5 * 12/3
Which is equal to 2/5*4
So 2 times 4 is 8
So the answer is 8/5
Hope this helps!
Answer:
$7150
Step-by-step explanation:
To find how much is earned, take the amount earned per week times the number of weeks
275*26 =7150
Answer:
( x )² + ( y - 3 )² = 16
Step-by-step explanation:
The general format for circular equations is ( x - a )² + ( y - b )² = r²