Question

Olga has a drawer of socks with four red pears, two gray pears, and a black hairs. she also has a bag of hair bands with 10 red, six gray, and 24 black hair bands if she selects randomly what is the probability that olga will select a red pair of socks and a red hairband

Answer 1

The probability that olga will select a red pair of socks and a red hairband is 14/47

Probability defines the likelihood of an event occurring. There are many situations in real life where we may need to predict the outcome of an event. We may or may not be certain of the outcome of the event. In such cases, we say that there is a probability that the event will or will not occur. Probability in general has great applications in games, in business for probabilistic predictions, and also probability has extensive applications in this new field of artificial intelligence.

The probability of an event can be calculated using the probability formula simply by dividing the number of favorable outcomes by the total number of possible outcomes. The value of the probability of an event occurring can lie between 0 and 1 because the number of favorable outcomes can never exceed the total number of outcomes. Also, a favorable number of results cannot be negative

For an experiment that has "n" number of outcomes, the number of favorable outcomes can be denoted by x. The formula for calculating the probability of an event is as follows.

Probability (event) = favorable outcomes/total outcomes = x/n

Olga has a drawer of socks with four red pears, two gray pears, and a black hairs. she also has a bag of hair bands with 10 red, six gray, and 24 black hair bands

Therefore total number of items are = 4 + 2 + 1 + 10 + 6 + 24 = 47

Probability that olga will select a red pair of socks and a red hairband is 4/47 + 10/47

= 14/47

Hence the probability that olga will select a red pair of socks and a red hairband is 14/47

Learn more about probability here:

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