Question

question 20
there are 3 balls in a hat, one with the number 2 on it, one with the number 6 on it, and one with the number 9 on it. you pick a ball from the hat at random and then you flip a coin. using a tree diagram, obtain
the sample space for the experiment. list the elements that make up the sample space.
a 2h,6h,9h
b 269h,269t
c 2ht,6ht,9ht
d 2h,2t,6h,6t,9h,9t
5 points

Explanation:

Step1: Analyze the experiment

The experiment has two parts: picking a ball (with numbers 2,6,9) and flipping a coin (with outcomes H - heads, T - tails).

Step2: List the sample - space elements

For the ball with number 2: (2H, 2T)
For the ball with number 6: (6H, 6T)
For the ball with number 9: (9H, 9T)
Combining these, the sample - space elements are 2H, 2T, 6H, 6T, 9H, 9T.

Answer:

D. 2H, 2T, 6H, 6T, 9H, 9T