GOING ACROSS
First: 2/4
Second: 5/6
Third: 5/6
Fourth: 2/4
Fifth: other
Answer:
114
Step-by-step explanation:
Since DE and EF are equal, DEF is an isosceles triangles.
In isosceles triangle, two angles are equal.
So,
∠F = ∠D = 33
Sum of interior angles in a triangles is 180,
∠D + ∠F + ∠E = 180
33 + 33 + ∠E = 180
∠E = 180 - 33 - 33
∠E = 114
We need to correctly choose exactly 4 out of the 6 drawn numbers.
Apply hypergeometric distribution:
a=number of correctly chosen numbers = 4
A=number of correct (drawn) numbers = 6
b=number of incorrectly chosen numbers = 2
B=number of undrawn numbers = 44-6 = 38
Then by the hypergeometric distribution
P(a,b,A,B)
=C(A,a)C(B,b)/C(A+B,a+b) [C(n,r)=combination of r objects taken out of n]
=C(6,4)C(38,2)/C(44,6)
=15*703/7059052
= 10545/7059052
= 0.001494 (to the nearest millionth)
Answer: probability of winning third prize is 10545/7059052=0.001494
What is the following? but 8.4 x 102= 856.8 if that helps.
The correct answer to this is: Y=47
