4.1.2. Important Terms

Try these first

1. 1.

   Define independent events.

   Hint

   Think of two unrelated activities.

2. 2.

   What is a mutually exclusive event? Give an example.

   Hint

   Consider two outcomes that cannot happen together.

3. 3.

   What is the definition of independent events?

   • Events that cannot occur at the same time
   • Events not affecting each other's outcome
   • Events that rely on each other

   Hint

   Consider two events that are unrelated.

4. 4.

   True or False: Mutually exclusive events can occur at the same time.

   • True
   • False

   Hint

   Reflect on the definition of mutually exclusive.

5. 5.

   Two dice are rolled. Find the probability that the first die shows a 5 and the second die shows a number greater than 4.

   Hint

   Use the probability multiplication rule.

6. 6.

   In a basket of fruits, 60% are apples (A) and 40% are bananas (B). If 30% of apples are rotten and 10% of bananas are rotten, what is the probability that a randomly chosen rotten fruit is an apple?

   Hint

   Identify how many rotten fruits come from each group.