Question

A bag has 2 blue marbles, 3 red marbles, and 5 white marbles. Which events have a probability greater than 5? Select three

options.
choosing 1 blue marble
choosing 1 red marble
choosing 1 red marble, not replacing it, and then choosing a blue marble
choosing 1 white marble, replacing it, and choosing another white marble
choosing 1 white marble

Answer 1

B, D, and E

Explanation:

i just did the test

Answer 2

Events 2,4 and 5 have probabilities greater than 0.5

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`

#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`

#choosing 1 red marble

`P(red)=3/10=0.3\\\\0.3>0.2`

#choosing 1 red marble, not replacing it,

`P(red)=0.3\\\\P(blue,no \ replacemnet)=2/9\\\\P(red \ then \ blue)=0.3* 2/9=0.067\\\\0.067<0.2`

#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* 4/9=0.22\\\\0.22>0.2`

#choosing 1 white marble

`P(white)=5/10\\\\=0.5`

Hence, from our calculations, events 2,4 and 5 have probabilities greater than 0.5