Question

1. statistics and probability organize interpret graphs collect/analyze data interpret/predict using probability *reading the spinner below has 12 congruent sections. spinner image sarah will spin the arrow on the spinner twice. what is the probability that the arrow will land on a shaded section of the spinner on both spins? a \\(\frac{25}{144}\\) b \\(\frac{1}{9}\\) c \\(\frac{5}{33}\\) d \\(\frac{25}{49}\\)

Explanation:

Step1: Count shaded sections

The spinner has 12 congruent sections. By counting the shaded ones, we find there are 5 shaded sections.

Step2: Probability of one spin

The probability of landing on a shaded section in one spin is the number of shaded sections divided by total sections, so $P(\text{shaded}) = \frac{5}{12}$.

Step3: Probability of two spins

Since the two spins are independent events, the probability of landing on shaded both times is the product of the probabilities of each spin. So $P(\text{both shaded}) = \frac{5}{12} \times \frac{5}{12} = \frac{25}{144}$.

Answer:

A. $\frac{25}{144}$