What you’ll learn
Find probabilities of compound events.
Key idea
Independent stages create equally likely ordered pairs; a 'both' event differs from a union and shared favorable pairs must not be counted twice.
Both independent events require joint outcomes; union overlap must be counted once.
Worked example
Enter the exact value or ordered values in the format requested below.
For independent equal-area spinners with 2 and 7 sectors, first 1 and first 1 labels favorable respectively, enter exact probability that both spins are favorable.
- The two spins are independent and their 2×7=14 ordered pairs are equally likely.
- Both favorable gives 1×1=1 pairs, probability 1/14; at least one favorable gives 8 pairs, probability 4/7.
Answer: 1/14
Quick Check
Interpret the result of 'Find probabilities of compound events' in the data-generating context, including units and population limits.
For independent equal-area spinners with 3 and 5 sectors, first 1 and first 1 labels favorable respectively, interpret the event 'at least one spin is favorable' from complete ordered outcomes.