Answer:
The game is not fair
Step-by-step explanation:
Let us find the sample space. It is the sum of the two spins
1+1 1+2 1+3 1+4
2+1 2+2 2+3 2+4
3+1 3+2 3+3 3+4
4+1 4+2 4+3 4+4
Adding
2,3,4,5
3,4,5,6
4,5,6,7
5,6,7,8
P(2) = 1/16
p(3) = 2/16
p(4) = 3/16
p(5) = 4/16
p(6) = 3/16
p(7) = 2/16
p(8) = 1/16
Player A gets a point if the sum is 6 or more
P (6,7,8) = P (6) + P(7) + P(8) since they are independent event
=( 3+2+1) /16 = 6/16 = 3/8
Player P gets a point if the sum is less than 6
P (2,3,4,5) =P (2) + P(3) + P(4 + P(5)
(1+2+3+4)/16 = 10/16= 5/8
Player B has a better chance of winning, so the game is not fair
Do you have a picture or anything that you could show us?
We need Pythagoras theorem here
a^2+b^2 = c^2
a, b = legs of a right-triangle
c = length of hypotenuse
Let S=shorter leg, in cm, then longer leg=S+2 cm
use Pythagoras theorem
S^2+(S+2)^2 = (10 cm)^2
expand (S+2)^2
S^2 + S^2+4S+4 = 100 cm^2 [collect terms and isolate]
2S^2+4S = 100-4 = 96 cm^2
simplify and form standard form of quadratic
S^2+2S-48=0
Solve by factoring
(S+8)(S-6) = 0 means (S+8)=0, S=-8
or (S-6)=0, S=6
Reject nengative root, so
Shorter leg = 6 cm
Longer leg = 6+2 cm = 8 cm
Hypotenuse (given) = 10 cm
Answer:
19 girls
Step-by-step explanation:
Since there are 3 more girls than boys, 35-3=32
32/2=16
Now add back the 3
16+3=19
