you flip a coin and then select one ball from a box that contains 6 balls number 1,2,3,4,5,6. how many oitcomes are in the sample space for this experiment?

There are 12 outcomes. The coin can land on either heads or tails, and then you can extract any number from 1 to 6 from the box. So, the outcomes are

Heads, 1 Heads, 2 Heads, 3 Heads, 4 Heads, 5 Heads, 6 Tails, 1 Tails, 2 Tails, 3 Tails, 4 Tails, 5 Tails, 6