You roll two dice. What is the probability that the average of the high and low roll is exactly 3, to four decimal places?
1 answer:
Answer:
0.1111
Step-by-step explanation:
Given that you roll two dice.
the average of the high and low roll is exactly 3,
Since die can show only 1 to 6 we can say average can be 3 in each of the following case.
(1,5) (2,4) (3,3) (4,2) (5,1)
There cannot be any other combination to get average of 3.
Thus favourable events = 4
Sample space will have
(1,1)...(1,6)
(2,1)....
(6,1)...(6,6) i.e. 36
So probability that the average of the high and low roll is exactly 3
=
You might be interested in
Answer:
see explanation
Step-by-step explanation:
Using the cosine and tangent ratios in the right triangle
cos41° = =
=
Multiply both sides by VX
VX × cos41° = 7 ( divide both sides by cos41° )
VX = ≈ 9.3
-----------------------------------------------------------------------
tan41° = =
=
Multiply both sides by 7
7 × tan41° = WX, thus
WX ≈ 6.1
-------------------------------------------------------------------------
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles from 180° for ∠ X
∠ X = 180° - (90 + 41)° = 180° - 131° = 49°