Question

you flip a coin and draw a marble at random from a bag containing two purple marbles and one white marble. the number of possible outcomes in the sample space is \boxed{}.

Explanation:

Step1: Determine coin outcomes

A coin flip has 2 possible outcomes: heads (H) or tails (T).

Step2: Determine marble outcomes

The bag has 2 purple (P₁, P₂) and 1 white (W) marble, so 3 outcomes.

Step3: Calculate total outcomes

Using the multiplication principle, multiply the number of coin outcomes by marble outcomes: \( 2\times3 = 6 \).

Answer:

6