The probability that he picked 2 purple socks is 36/100 or 0.36
Step-by-step explanation:
It is given that, there were 6 purple socks and 4 orange socks in a drawer.
Therefore, the total number of socks = 6 purple socks + 4 orange socks.
The total number of socks in the drawer is 10.
Zucky picked one sock without looking and then another without looking by replacing the first one.
The probability to take first socks that is purple = No. of purple socks /Total
⇒ 6/10.
With replacement,
Probability to take second socks that is purple = No. of purple socks/Total
⇒ 6/10.
Therefore, the probability that he picked 2 purple socks = (6/10) × (6/10)
⇒ 36/100
⇒ 0.36
The probability that he picked 2 purple socks is 36/100 or 0.36
