1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
spin [16.1K]
2 years ago
11

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
Mathematics
1 answer:
hjlf2 years ago
7 0

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

You might be interested in
Please help am stuck​ ASAP
Aloiza [94]

Answer:

linear

Step-by-step explanation:

y is always 1 behind x

8 0
1 year ago
Edgar wants to plot the ordered pair (1.8, -1.2) on a coordinate plane. On each axis, one grid square equals 0.1. starting at th
ikadub [295]
Edgar can count 18 units right and count down 12
8 0
3 years ago
Read 2 more answers
What is the slop of y=-1x+3
IRISSAK [1]

Answer:

-1

This line is in slope intercept form (y=mx+b) where m represents the slope and b represents the y-intercept

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
At the doctor’s office, Martin learns that his heart beats 360 times in 5 minutes.How many does his heart beat per minute?
TEA [102]
To find this answer, just divide 360 by 5 to find out how many times his heart beats in one minute instead of 5. Doing this will give you a final answer of 72 bpm.
8 0
3 years ago
Which function represents the data
Nady [450]
There is nothing attached
6 0
2 years ago
Read 2 more answers
Other questions:
  • A ball is dropped from a state of rest at time t=0.The distance traveled after t seconds is s(t)=16t^2 ft.
    12·1 answer
  • The sun’s rays are striking the ground at a 55° angle, and the length of the shadow of a tree is 56 feet. How tall is the tree?
    13·1 answer
  • Between which two square roots of integers could you find 3.14
    5·1 answer
  • The truck’s tank is a stainless steel cylinder. Find the surface area of the tank. Round your answer to the nearest hundredth.
    8·1 answer
  • X·6−14=46 <br><br><br> Answer asap!!!! thank you!!
    10·1 answer
  • Plzz I asked this three times! The Functions r and s are defined as follows.
    13·1 answer
  • Solve the system using substitution.
    15·2 answers
  • Solve 64=V, where v is a real number. Simplify your answer as much as possible. If there is more than one solution, separate the
    9·1 answer
  • I need help!!!!<br><br> The square below has the given side lengths. x is positive
    15·2 answers
  • Find the value of x. The figure shows complementary angles. The label for the first angle is x plus 9 degrees. The label for the
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!