This is the concept of probability, we are required to calculate for the probability of rolling a 4 with a single die four times in a row;
To solve this we proceed as follows;
The probability space of a die is x={1,2,3,4,5,6}
The probability of a die falling on any of this number is:
P(x)=1/6
Thus the probability of rolling a 4 with a single die four times which makes up mutually exclusive events will be:
1/6*1/6*1/6*1/6
=(1/6)^4
=1/1296
The answer is B] 1/1296
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Each point moves to the same distance on the other side of the mirror line. The slope of the mirror line is 1, so the points move along a line perpendicular to that, one with a slope of -1. You can make sure the distances are the same by counting the grid squares.
Answer:
Here, K represents the current age of Katie and T represents the current age of Thomas.
(a)
As per the statement:
Katie is currently twice the age of Thomas.
⇒
......[1]
It is also given that in 6 years Katie will be 4 times Thomas's current age.


Subtract 6 from both sides we get;
......[2]
A system of equations that describe the situation is:


(b)
To find the solution:
equate [1] and [2] we have;

Subtract 2T from both sides we have;

Add 6 to both sides we get;

Divide both sides by 2 we have;
T = 3 years
Substitute this in equation [1] we get;
K = 2(3) = 6 years.
Therefore, the current age of Katie and Thomas are 6 years and 3 years.