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:
[tex]P(red)=3/10=0.3\\\\P(white)=5/10=0.5\\\\P(blue)=2/10=0.2[/tex]
#We calculate the probabilities to check which events have a probability greater than 1/5=0.2
#choosing 1 blue marble
[tex]P(1 \ blue)=2/10=0.2\\\\0.2=0.2[/tex]
#choosing 1 red marble
[tex]P(red)=3/10=0.3\\\\0.3>0.2[/tex]
#choosing 1 red marble, not replacing it,
[tex]P(red)=0.3\\\\P(blue,no \ replacemnet)=2/9\\\\P(red \ then \ blue)=0.3\times 2/9=0.067\\\\0.067<0.2[/tex]
#choosing 1 white marble, replacing it, and choosing another white marble
[tex]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[/tex]
#choosing 1 white marble
[tex]P(white)=5/10\\\\=0.5[/tex]
Hence, from our calculations, events 2,4 and 5 have probabilities greater than 0.5
