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Sagot :
To determine the probability that a randomly selected SUV is white, we follow these steps:
1. Identify the total number of SUVs observed:
- From the table, we see that the total number of SUVs is 35.
2. Identify the number of white SUVs observed:
- From the table, the number of white SUVs is 22.
3. Calculate the probability [tex]\(P(\text{White} \mid \text{SUV})\)[/tex]:
- This probability is the number of white SUVs divided by the total number of SUVs, expressed as a percentage.
4. Performing the division and converting to a percentage:
- [tex]\(P(\text{White} \mid \text{SUV}) = \frac{22}{35} \times 100\)[/tex]
5. Upon calculation, the probability that a randomly selected SUV is white is approximately 62.8571%.
So, the probability that a randomly selected vehicle is white given that it's an SUV is [tex]\( \boxed{62.8571\%} \)[/tex].
1. Identify the total number of SUVs observed:
- From the table, we see that the total number of SUVs is 35.
2. Identify the number of white SUVs observed:
- From the table, the number of white SUVs is 22.
3. Calculate the probability [tex]\(P(\text{White} \mid \text{SUV})\)[/tex]:
- This probability is the number of white SUVs divided by the total number of SUVs, expressed as a percentage.
4. Performing the division and converting to a percentage:
- [tex]\(P(\text{White} \mid \text{SUV}) = \frac{22}{35} \times 100\)[/tex]
5. Upon calculation, the probability that a randomly selected SUV is white is approximately 62.8571%.
So, the probability that a randomly selected vehicle is white given that it's an SUV is [tex]\( \boxed{62.8571\%} \)[/tex].
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