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
Paul [167]
3 years ago
6

If you roll one die and flip one coin, what is the probability of rolling a 2 and flipping a head? Why?

Mathematics
2 answers:
den301095 [7]3 years ago
6 0

Answer:

The probability of rolling a 2 and flipping a head is \frac{1}{12}

Step-by-step explanation:

Notice that rolling a die and flipping a coin are two independent events this means that the probability that one event occurs in no way affects the probability of the other event occurring. When we determine the probability of two independent events we multiply the probability of the first event by the probability of the second event.

P(X and \:Y) =P(X) \cdot P(Y)

When you roll a die there six outcomes from 1 to 6 and when you flip a coin are two possible outcomes (heads or tails).

We know that the probability of an event is

P=\frac{the \:number \:of \:wanted\:outcomes}{the \:number \:of \:possible \:outcomes}

So the probability of rolling a 2 and flipping a head is

P(2 \:and \:H) = P(2) \cdot P(H)\\P(2 \:and \:H) = \frac{1}{2} \cdot \frac{1}{6}\\P(2 \:and \:H) = \frac{1}{12}

Nezavi [6.7K]3 years ago
3 0

Answer:

Probability of rolling a 2 and flipping a head will be \frac{1}{12}    

Step-by-step explanation:

If we roll one die then probability to get any one side is \frac{1}{6}

Therefore, probability to get 2 by rolling the die will be P(A) = \frac{1}{6}

Now we flip a coin then getting head or tale probability is \frac{1}{2}

Or probability to get head by flipping the coin P(B) = \frac{1}{2}

Probability of happening both the events (rolling a 2 and flipping a head) will be denoted by

P(A∩B) = P(A)×P(B)

           = \frac{1}{6}\times \frac{1}{2}

           = \frac{1}{12}

Therefore, probability of rolling a 2 and flipping a head will be \frac{1}{12}        

You might be interested in
A coffee shop sells coffee, tea and pastries. The owner analysed her profits from the shop this week and found that
KIM [24]
[Pre-Chorus]
Oh, woah-oh, oh, oh
Oh-oh-oh-oh-oh-oh
I'll get him hot, show him what I've got
Oh, woah-oh, oh, oh
Oh-oh-oh-oh-oh-oh
I'll get him hot, show him what I've got

[Chorus]
Can't read my, can't read my
No, he can't read my poker face
(She's got me like nobody)
Can't read my, can't read my
No, he can't read my poker face
(She's got me like nobody)

[Post-Chorus]

Russian roulette is not the same with
8 0
1 year ago
F(x)= x squared -3x + 2 divided by 3x squared + 9 x -12
VashaNatasha [74]

Answer:

=(x-2)/3(x+4)

Step-by-step explanation:

F(x)=x²-3x+2/3x²+9x-12

Using mid term break formula

=x²-2x-x+2/3(x²+3x-4)

=x(x-2)-1(x-2)/3(x²+4x-x-4)

=(x-2)(x-1)/3{x(x+4)-1(x+4)}

=(x-2)(x-1)/3(x-1)(x+4)

Cancelling (x-1)

We get

=(x-2)/3(x+4)

Hope it helps :)

6 0
3 years ago
A 50% DISCOUNT IF THE SWAETSHIRT COST $64.75, HOW MUCH DID ADAM PAY ROUNDED TO THE NEASRT HUNDERTHS
Yakvenalex [24]
Answer: $32.38

Explanation:

64.75 = 100%

So that mean 50% would be half of 64.75

64.75 ÷ 2 = 32.375
8 0
2 years ago
A rectangular flowerbed at a city park has an area of 126 square meters.the width of the flowerbed is 3 meters.what is the perim
Alona [7]

First we need to find the length. So we do 126/3 to get 42. The length is 42. Now to find perimeter we do 2(42)+2(3) or 42+42+3+3.

Both ways are right ways. The perimeter is 90 meters.

Hope that helps!!

6 0
3 years ago
How to write half of a number is equal to -5?
Oxana [17]
1/2x=-5 is the answer 
7 0
3 years ago
Read 2 more answers
Other questions:
  • A ball is thrown downward from a window in a tall building. its position at time t in seconds is s = 16t^2 + 32t, where s is in
    15·1 answer
  • A television costs $450. During a special sale, it’s marked 1⁄3 off. What’s the sale price of the TV?
    11·2 answers
  • Captain amazing needs your help!!He has been given a secret 4 acre lot by the government to train his mighty minions.he wants to
    5·2 answers
  • IIene earns $20. Se saves $2 for every $8 that she spends. How much of the $20 did she save
    7·1 answer
  • Matthew has recorded the amount he's saved every three months. Months Savings 3 $1,800 6 $3,600 9 $5,400 Christopher saves $550
    10·2 answers
  • Given f(x) = log x and g(x) = -x + 1,<br> which is the graph of (fºg)(x)?
    7·1 answer
  • Solve the following two equations. Show all of your
    14·1 answer
  • I need help i dont understand this​
    9·1 answer
  • cam hits the bullseye in 8 darts out of 15 throws. what is the experimental probability that came next throws will hit the bulls
    8·2 answers
  • The graph of k(x) =x^2 is translated 15 units to the right on a coordinate grid to create the graph of the function p. Which fun
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!