The probability of her selecting a red hairband and a red socks is 1/14.
This question is from a topic in mathematics called probability.
Probability can be simply defined as the percentage to which an event may likely occur.
The formula for probability of an event to occur is given as
[tex]P(x) = \frac{number of favorable outcomes }{ Total number of outcomes}[/tex]
So in the first case, the total number of likely outcomes for her to pick a red pair of socks = [tex]\frac{4}{14} = \frac{2}{7}[/tex]
The probability of her selecting a red hairband randomly is = [tex]\frac{10}{40}=\frac{1}{4}[/tex]
To get the probability of her selecting a red hairband and a red socks is by multiplying the probability of both events
[tex]P=\frac{2}{7}*\frac{1}{4}=\frac{1}{14}[/tex]
This shows that the probability of her selecting a red hairband and a red socks is 1/14
Learn more about probability here;
https://brainly.com/question/251701
