Need help with these questions for statistics and probability

thanks

1. Use a Venn diagram to verify that A n (B U C) = (A H B) U (A n C). 2. Two dice, identical except that one is green and the other is red, are tossed and the number of dots on the top face of each is observed. (a) What is the sample space for this experiment? (b) Would your sample space be different if both dice had the same color and therefore you could not distinguish them? Explain your answer. (0) What would be the sample space if instead of observing the dots on the top of each die, you would just count the total number of dots at both dice? 3. A coin is ipped three times, and heads or tails is observed after each ip. What is the sample space? Indicate the outcomes in the event \"at least 2 heads are observed.\" 4. A coin is ipped, and it is noted whether heads or tails show. A die is tossed, and the number on the top face is noted. What is the sample space of this experiment