To find how many of each shape of sticker are likely to be in the box if there are a total of 30 stickers, we can use the frequencies provided in the table to calculate the probability of each shape occurring.
First, we need to find the total frequency of all shapes:
Total frequency = 8 + 24 + 52 + 36 = 120
Next, we determine the probability of each shape occurring:
Probability of rectangular sticker = Frequency of rectangular sticker / Total frequency = 8/120 = 1/15
Probability of circular sticker = Frequency of circular sticker / Total frequency = 24/120 = 1/5
Probability of star-shaped sticker = Frequency of star-shaped sticker / Total frequency = 52/120 = 13/30
Probability of heart-shaped sticker = Frequency of heart-shaped sticker / Total frequency = 36/120 = 3/10
Now that we have the probabilities, we can find how many stickers of each shape are likely to be in the box if there are 30 stickers:
Number of rectangular stickers = (1/15) * 30 = 2
Number of circular stickers = (1/5) * 30 = 6
Number of star-shaped stickers = (13/30) * 30 = 13
Number of heart-shaped stickers = (3/10) * 30 = 9
Therefore, based on the probability model, there are likely to be 2 rectangular stickers, 6 circular stickers, 13 star-shaped stickers, and 9 heart-shaped stickers in the box if there are a total of 30 stickers.
Drake has rectangular, circular, star-shaped, and heart-shaped stickers in a box. Drake conducts a probability experiment in which for each event, he randomly draws one sticker from the box, records its shape, and then replaces it. The results are shown in the table.
Shape Frequency
Rectangular 8
Circular 24
Star-shaped 52
Heart-shaped 36
Based on the probability model, how many of each shape of sticker are likely to be in the box if there are a total of 30 stickers?
1 answer