To play a game, a number cube with sides numbered 1 through 6 is rolled and a fair coin is flipped.
1 answer:
Answer:
16.7%
Step-by-step explanation:
Please check below attachment for sample space table
Firstly, we have the total number of possible results as 12
From the 12, the probability of flipping a head is 6/12
Rolling either a 3 or a 5 is the sum of places we have both divided by the possible total of 12
we have this as ; 2/12 + 2/12 = 4/12
The term ‘AND’ means we have to multiply the two probabilities as follows;
4/12 * 1/2 = 1/6 = 0.1667
To the nearest tenth, we have this as 16.67% which is 16.7%
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I will go about solving this using the elimination method.
First, convert the equations.
10x + y = -20
4x + y = -12
Second, find the easiest variable to get rid of and get rid of it! (In this case, y) We will subtract to get rid of y.
6x = -8
Third, you want to solve the equation.
6x = -8 (divide by 6)
x =
Fourth, solve for y by inserting the answer for x into one of the equations.
10() + y = -20
+ y = -20 (subtract )
y =
The solution for this system of equations is (, ).
First, convert the equations.
10x + y = -20
4x + y = -12
Second, find the easiest variable to get rid of and get rid of it! (In this case, y) We will subtract to get rid of y.
6x = -8
Third, you want to solve the equation.
6x = -8 (divide by 6)
x =
Fourth, solve for y by inserting the answer for x into one of the equations.
10(
y =
The solution for this system of equations is (