math: statistic/ probalitity - need help with problem#2-114(a-b,a-c) - please ex

Question

math: statistic/ probalitity
- need help with problem#2-114(a-b,a-c)
- please explain the correct answer to each questions
- all information is there in picture
- thank you

2-114. Elliot loves music, especially listening to his music player on shuffle. He has songs stored in four categories: country, blues, rock, and classical. Two-fifths of his songs are country songs, one sixth of his songs are classical, one third are blues, and the rest are rock a. What is the likelihood that the first two songs will be a country song and then a classical? b. What is the likelihood that a blues song or a country song will come up first?

Explanation / Answer

2-114) asno prior information we will consider events independent

a) likelihood that first two songs will be a country song and then a classsical =P( first song is country song*second song is country song *third song is classical) =(2/5)*(2/5)*(1/6)=2/75

b) probability that a blue or country song comes first =(1/3)+(2/5) =11/15

2)

a)probability of rasberry Yoghurt =3/5 =0.6 (as there are 3 out of 5 rasberry yoghurt)

b)for there are total 10 items inrefrigerator out of which 3 are red apples

therefore probability that he will choose red apples =3/10 =0.3

from apples if he needs to choose probability that he will choose red apple =3/5 =0.6

c) probability that lucas will eat a rasberry yogurt and a red apple =(3/5)*(3/5) =9/25 =0.36

please revert for any clarification required.

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