TEACHER-GUIDE-VERIFIED · TG-V9-082

7. A storm has probability 0.30 and a shield succeeds with probability 0.92 if a storm occurs. Find probability of a storm and shield failure.

Verified solution

Solution: P(storm and failure)=0.30(1-0.92)=0.30(0.08)=0.024=2.4%.

Source: Teacher Guide V9 · English V9. Match the numbers and wording in your printed question before using this solution.

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VIDEO HELP · TG-V9-082

Combine Storm Probability and Shield Failure (TG-V9-082)

Failure given a storm is 1 minus 0.92, or 0.08. Multiply by storm probability 0.30 to find joint probability 0.024, or 2.4%. Check both storm outcomes sum to 0.30.

Space Math Explorers · approved worked example · 1:23 · Watch on YouTube

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These pages reproduce verified solution steps for the registered V9 questions. It does not diagnose learning needs or replace instruction from a qualified teacher or tutor.