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.
