QUESTION IMAGE
Question
select the correct answer from each drop - down menu.
a group of people were surveyed, and the data about their age and whether they have an iron deficiency was recorded in the two - way frequency table.
| iron deficiency | age - less than 20 years | age - 20 - 30 years | age - more than 30 years | total |
|---|---|---|---|---|
| no | 109 | 43 | 46 | 198 |
| total | 150 | 80 | 70 | 300 |
based on the data in the table, the probability of randomly choosing a person who has iron deficiency and is less than 20 years old is
the probability of randomly choosing a person who does not have iron deficiency and is 20 years old or more is
options: 0.14, 0.27, 0.4
Step1: Identify target group count
Number of people with no iron deficiency and aged 20+ = 43 + 46 = 89
Step2: Calculate total survey population
Total surveyed people = 300
Step3: Compute probability
Probability = $\frac{\text{Target group count}}{\text{Total population}} = \frac{89}{300} \approx 0.30$
Wait, correcting: Recheck target group: no iron deficiency, 20 years old or more is 20-30 (43) + more than 30 (46) = 89. $\frac{89}{300} \approx 0.30$, but from given options, re-verify:
Wait, no—wait, 43+46=89, 89/300≈0.297, which rounds to 0.3, but the options are 0.14, 0.27, 0.4. Wait, recheck the first probability: iron deficiency and <20 is 41/300≈0.137≈0.14, which matches the checked value.
For the second: no iron deficiency and 20+ is (43+46)/300 = 89/300 ≈0.297, which is closest to 0.27? No, wait, wait—wait, total no iron deficiency is 198, no iron deficiency and <20 is 109, so 198-109=89, correct. 89/300≈0.297, which is approximately 0.3, but since 0.27 is the closest option provided, or wait—wait, did I misread? 20 years old or more: 20-30 (43) + more than 30 (46) = 89. 89 divided by 300 is 0.296..., which rounds to 0.3, but since 0.27 is an option, no—wait, maybe I miscalculated total? Total is 300, correct.
Wait, alternative: probability of no iron deficiency AND 20+ is $\frac{43+46}{300} = \frac{89}{300} \approx 0.297$, which is closest to 0.27 among the given options.
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First blank: 0.14
Second blank: 0.27