Math  /  Data & Statistics

QuestionA game involves a spinner containing 8 regions of equal size. 2 of the regions are blue, 2 are pink, 2 are green, and 2 are purple. If the pointer is spun twice in a row, what is the probability that it lands on blue and then pink? Write the answer as a simplified fraction. \square Submit Question

Studdy Solution
Multiply the probabilities from steps 1 and 2 to find the probability of landing on blue and then pink.
P(blue first and pink second)=P(blue first)×P(pink second)=14×14=116 P(\text{blue first and pink second}) = P(\text{blue first}) \times P(\text{pink second}) = \frac{1}{4} \times \frac{1}{4} = \frac{1}{16}
The probability that the spinner lands on blue and then pink is:
116 \boxed{\frac{1}{16}}

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