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 …

Question

asked Feb 17, 2021 94.2k views

2 Answers

Oliver Wilken · Answer 1 · 2021-02-22T08:44:02+0000

Answer:

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