There are 16 shirts in your closet, 6 blue and 10 green. You randomly select one to wear on Monday,

sunshine022uv

sunshine022uv

Answered question

2022-01-18

There are 16 shirts in your closet, 6 blue and 10 green. You randomly select one to wear on Monday, do not return it to the closet, then select one to wear on Tuesday. What is the probability of wearing a blue shirt on Monday and a green shirt on Tuesday?

Answer & Explanation

vrangett

vrangett

Beginner2022-01-18Added 36 answers

Step 1
There are 6 blue and 10 green shirt.
Total shirts are 16.
The probability of wearing a blue shirt on Monday is 616=38.
Now that shirt is not replaced, so there are 5 blue and 10 green shirts remaining which makes the total 15.
The probability of wearing a green shirt on Tuesday is 1015=23.
Step 2
Hence the probability of wearing a blue shirt on Monday and a green shirt on Tuesday is:
38×23=14
intacte87

intacte87

Beginner2022-01-19Added 42 answers

Step 1
Given that there are 16 shirts in my closet, 6 blue and 10 green.
I can select any 2 shirts from the 16 shirts in 16P2=240 ways.
Step 2
I can select a blue shirt on Monday in 6 ways and a green shirt on Tuesday in 10 ways.
So the number of ways to select a blue shirt on Monday and a green shirt on Tuesday is =6×10=60
The probability of wearing a blue shirt on Monday and a green shirt on Tuesday is =60240=14
Answer: 14

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