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Olga has a drawer of socks with 4 red pairs, 2 gray pairs, and 8 black pairs. She also has a
bag of hairbands with 10 red, 6 grey, and 24 black hairbands.
If she selects randomly, what is the probability that Olga will select a red pair of socks and a
red hairband?

Olga has a drawer of socks with 4 red pairs 2 gray pairs and 8 black pairs She also has a bag of hairbands with 10 red 6 grey and 24 black hairbands If she sele class=

Respuesta :

Answer:

2/7, 1/10, 2/15

Step-by-step explanation:

hope this helps!!

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 Probability of an Event (x)

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]

Probability of Red Socks

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]

Probability of Red Hairband

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

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