Answer:
1) 1/4
3) 1/12
4) 5/6
Step-by-step explanation:
1) P(Red) = 1/4
4 options out of which 1 is red
2)
Black --> Black, White, Yellow
Green --> Black, White, Yellow
Red --> Black, White, Yellow
White --> Black, White, Yellow
First 4 branches for buttons.
From each of these 4 branches, make 3 further branches for ribbons
3) In the tree diagram, there are
12 (4×3 = 12) equally likely outcomes
Out of which 1 is (Black, Black)
So, P(Black & Black) = 1/12
4) out of the 12 outcomes, only 2 have same colour of bottom ribbon:
(Black, Black) & (White,White).
Other 10 have different colours.
P(different) = 10/12 = 5/6
is the volume of the cone,
is the radius of the cone,
is the height of the cone.