Math  /  Data & Statistics

Question2. Miguel is comparing the probabilities of two spinners. Select all the true statements that Miguel made. (A) Spinner AA is twice as likely to land on 1 as spinner BB is. (B) The probability that spinner BB lands on an odd number is 12\frac{1}{2}. (c) The probability that spinner AA lands on 2 is 14\frac{1}{4}. (1)
Spinner AA is not a fair spinner. Spinner AA and spinner BB are equally likely to land on an odd number.

Studdy Solution
Compare the probability of landing on an odd number for both spinners.
Spinner A A odd numbers: 1, 1, 3, 3 (4 out of 6 sections).
P(A lands on odd)=46=23 P(A \text{ lands on odd}) = \frac{4}{6} = \frac{2}{3}
Spinner B B odd numbers: 1, 3 (2 out of 4 sections).
P(B lands on odd)=24=12 P(B \text{ lands on odd}) = \frac{2}{4} = \frac{1}{2}
Spinner A A and spinner B B are not equally likely to land on an odd number.
The true statements are: - (B) The probability that spinner B B lands on an odd number is 12\frac{1}{2}. - Spinner A A is not a fair spinner.

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