Answer:To find the probability of selecting a pink crayon both times, we can follow these steps:
1. Calculate the total number of crayons in the box:
Total crayons = 4 pink + 3 orange + 6 green = 13 crayons
2. Calculate the probability of selecting a pink crayon on the first draw:
P(selecting a pink crayon on the first draw) = Number of pink crayons / Total number of crayons
P(pink on first draw) = 4 / 13 = 4/13
3. Since the crayon is replaced after the first draw, the total number of crayons remains the same for the second draw.
4. Calculate the probability of selecting a pink crayon on the second draw:
P(selecting a pink crayon on the second draw) = Number of pink crayons / Total number of crayons
P(pink on second draw) = 4 / 13 = 4/13
5. To find the probability of selecting a pink crayon both times (independent events), we multiply the probabilities of each event:
P(selecting pink crayon both times) = P(pink on first draw) * P(pink on second draw)
P(pink both times) = (4/13) * (4/13) = 16/169
Therefore, the probability of selecting a pink crayon both times is 16/169.
Step-by-step explanation:
