Probability of rolling a sum of 9 or a sum that is even from two number cubes is
11/18
Explanation:
When a dice is rolled there are different ways in which
9. can be obtained, which are (3,6) or (4,5) or (5,4) or (6,3). 4 options. As in all there are
6⋅6=36 options, probability is 4/36 or 1/9.
For getting an even number as sum, we can have (1,1) or (1.3) or (1,5) or (2,2) or (2,4) or (2,6) or (3,1) or (3,3) or (3,5) or (4,2) or (4,4) or (4,6) or (5,1) or (5,3) or (5,5) or (6,2) or (6,4) or (6,6) 18 options, probability is 18/36 or 1/2.
Note that the two events (getting 9 or even sum) are mutually exclusive, the probabilities can be just added i.e. combined probability is
1/9+1/2=2+9/18i.e. 11/18
Answer:
420 unique combinations.
Step-by-step explanation:
Fundamental counting principle:
States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.
One object from each set:
2 from one set, 5, 6 and 7 by others. Sets are independent, so, by the fundamental counting principle:
2*5*6*7 = 10*42 = 420
420 unique combinations.
Step-by-step explanation:
I believe this would be A or D
Answer:
Solution,
Radius(r)=6 cm
Height(h)=20 cm
Volume of cylinder= pi (r)^2 h
=3.14*(6)^2*20
=3.14*36*20
=2260.8 cm^3
Hope it helps
Good luck on your assignment
