Answer:
Events 2,4 and 5 have probabilities greater than 0.5
Step-by-step explanation:
They are 10 balls combined: 2blue, 3 red and 5 white with the probabilities:
![P(red)=3/10=0.3\\\\P(white)=5/10=0.5\\\\P(blue)=2/10=0.2](https://tex.z-dn.net/?f=P%28red%29%3D3%2F10%3D0.3%5C%5C%5C%5CP%28white%29%3D5%2F10%3D0.5%5C%5C%5C%5CP%28blue%29%3D2%2F10%3D0.2)
#We calculate the probabilities to check which events have a probability greater than 1/5=0.2
#choosing 1 blue marble
![P(1 \ blue)=2/10=0.2\\\\0.2=0.2](https://tex.z-dn.net/?f=P%281%20%5C%20blue%29%3D2%2F10%3D0.2%5C%5C%5C%5C0.2%3D0.2)
#choosing 1 red marble
![P(red)=3/10=0.3\\\\0.3>0.2](https://tex.z-dn.net/?f=P%28red%29%3D3%2F10%3D0.3%5C%5C%5C%5C0.3%3E0.2)
#choosing 1 red marble, not replacing it,
![P(red)=0.3\\\\P(blue,no \ replacemnet)=2/9\\\\P(red \ then \ blue)=0.3\times 2/9=0.067\\\\0.067](https://tex.z-dn.net/?f=P%28red%29%3D0.3%5C%5C%5C%5CP%28blue%2Cno%20%5C%20replacemnet%29%3D2%2F9%5C%5C%5C%5CP%28red%20%5C%20then%20%5C%20blue%29%3D0.3%5Ctimes%202%2F9%3D0.067%5C%5C%5C%5C0.067%3C0.2)
#choosing 1 white marble, replacing it, and choosing another white marble
![P(white)=0.5\\P(white, no \ replacement \ in \ i)=4/9\\\\p_t=0.5\times 4/9=0.22\\\\0.22>0.2](https://tex.z-dn.net/?f=P%28white%29%3D0.5%5C%5CP%28white%2C%20no%20%5C%20replacement%20%5C%20in%20%5C%20i%29%3D4%2F9%5C%5C%5C%5Cp_t%3D0.5%5Ctimes%204%2F9%3D0.22%5C%5C%5C%5C0.22%3E0.2)
#choosing 1 white marble
![P(white)=5/10\\\\=0.5](https://tex.z-dn.net/?f=P%28white%29%3D5%2F10%5C%5C%5C%5C%3D0.5)
Hence, from our calculations, events 2,4 and 5 have probabilities greater than 0.5
132 boys to 89 girls to 14 adults
5^3 (five to the third power) and 5x5x5
Answer:
Step-by-step explanation:
h= 19 yards, r=7yards, v=?,Π= 3.14
Vol. Of a cone = 1/3×h×Π×r²
V= 1/3×19×3.14×7²
V= 2923.34/3
V=974.45
To the nearest hundredth
V=974cm³
Answer:
slope = -1/12
Step-by-step explanation:
From the figure we can see that the line passes through 2 points which are
(-6,-1) and (6,-2)
Use the formula y2-y1/x2-x1
(-2-(-1))/6-(-6)
(-2+1)/6+6
-1/12