M3.S.CP.D.7

Calculate probabilities using geometric figures.

Example Problems
A spinner lands on red 40% of the time. Let be the number of spins until the spinner first lands on red. Assume spins are independent.

Find the probability that the first red occurs on the
2nd spin.

Round your answer to the
nearest hundredth.
A factory sensor falsely triggers 2% of the time. Let be the number of readings taken until the first false trigger. Assume readings are independent.

Find the probability that the first false trigger occurs on the
12th reading.

Round your answer to the
nearest hundredth.
Tariq checks the weather during monsoon season; each day has a 30% chance of rain. Let be the number of days until the first rainy day. Assume daily outcomes are independent.

Find the probability that it rains within the
first 2 days.

Round your answer to the nearest hundredth.
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