Question Video: Determining the Theoretical Probability of an Event in Word Problems | Nagwa Question Video: Determining the Theoretical Probability of an Event in Word Problems | Nagwa

# Question Video: Determining the Theoretical Probability of an Event in Word Problems Mathematics • First Year of Preparatory School

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A box contains 5 red marbles, 8 green marbles, and 4 yellow marbles. If a marble is picked from the box at random, what is the probability that the marble is red?

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### Video Transcript

A box contains five red marbles, eight green marbles, and four yellow marbles. If a marble is picked from the box at random, what is the probability that the marble is red?

We begin by considering the information given in the question. We have a box containing red, green, and yellow marbles. There are five red marbles, eight green marbles, and four yellow marbles. And we are asked to find the probability that a randomly selected marble is red. This is an example of theoretical probability. And we recall that the probability of an event can be written as a fraction where the numerator is the number of favorable outcomes and the denominator is the total number of possible outcomes. In this question, there are five red marbles. Since five plus eight plus four is equal to 17, there are 17 marbles in total. And we can therefore conclude that the probability of selecting a red marble is five out of 17 or five seventeenths.

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