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House" on his next draw?
3) Mr. Ridge has a 5 blue jujubes and 3 red jujubes in a container for his after-school treat Before he eats each jujube, he shakes the container and randomly draws one out.
a) Draw a tree diagram representing the possible outcomes for Mr. Ridge's first three jujubes.
hat is the probability that the first two jujubes Mr. Ridge eats are red?

House

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Estimate population size using proportions

Full solution

Q. House

Calculate total jujubes: First, calculate the total number of jujubes. $\newline$ $5$ blue + $3$ red = $8$ jujubes total.
Find first red probability: Next, find the probability of drawing a red jujube first. $\newline$ Probability of first red $=$ Number of red jujubes $/$ Total number of jujubes $=$ $\frac{3}{8}$ .
Remaining jujubes after first draw: After drawing one red jujube, there are now $2$ red and $5$ blue jujubes left, $7$ in total.
Find second red probability: Now, find the probability of drawing a second red jujube after the first one has been drawn. Probability of second red = Remaining red jujubes / Remaining total jujubes = $\frac{2}{7}.$
Multiply probabilities: Multiply the probabilities of each event to find the overall probability of both events occurring in sequence. $\newline$ Probability of first two reds = Probability of first red $\times$ Probability of second red = $\frac{3}{8}$ $\times$ $\frac{2}{7}$ .
Perform multiplication: Perform the multiplication to find the probability. $(\frac{3}{8}) \times (\frac{2}{7}) = \frac{6}{56}$ .

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