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:
598
Step-by-step explanation:
garden table 51
the bench?
51+598
Simple, first we add the numbers up. 3+3+3+3=12, you asked what is the probability that it is a bag of peanuts, their are 3 bags of peanuts. Let's make a fraction. The fraction is going to be 3/12, we can simplify 3/12 into 1/4. So, the answer is A. 1/4
Answer:
The friends live 285 miles apart.
Step-by-step explanation:
Let total distance in miles Sean needs to cover to visit his friend be = 
On first hour distance traveled in miles is = 
Distance left to cover after first hour = 
On second hour distance traveled = 34 miles
Distance to still left to be covered = 194 miles
Total distance to be covered after first hour will be = 
= 228 miles
Thus, the equation can be given as:
⇒ 
Multiplying each term with 5 to remove fractions.
⇒ 
⇒ 
⇒ 
Dividing both sides by 4.
⇒ 
∴ 
Thus, the friends live 285 miles apart.
Answer:
d
Step-by-step explanation:
Because you need to substitute the variable first, multiply that and add 8.
