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
All paragraphes should have a leading and supporting clause. just like this hre, "I love tocas."
3 sides are 2w+3
3 sides are 3w-2
w=2
2w+3=2(2)+3=4+3=7
3w-2=3(2)-2=6-2=4
3*7+3*4=21+12=33
perimiter is 33 cm
Cos ø = A/H = 17/20
On your calculator:
- Put in the fraction (17 divided by 20)
- Press =
- Press 2nd
- Press cos
You should get <u>31.8</u> when you round it