1 Suppose you roll a regular fair die twice. Let S, represent the event that the sum of the two rolls is i for i = 2,3,....12 and E represent the event that their product is an even number. That is, S = {(1, 2): 1+w=1, w , w), and E={(ww) : wywy is an even number, we f N}, representing the sample space for each roll. where 2 = {1,2,3,4,5,6}= 4 points Draw a Venn diagram representing the sample space = n; N Clearly indicate the events S, for all I 2,3,...12. E. and their intersetions. Label the diagram with S, for all I 2,3,...12. E. and Make sure that the Venn diagram does not contain any areas for empty sets. You don't need to draw/label individual outcomes. You can use any software to draw the Venn diagram or take a photo of a hand-drawn diagram. Display your Venn diagram as a picture using the Rich Content Editor. 12pt BIUA ALEXX E Paragraph 1 point Compute P(S3). Type your answer... 1 point Compute P(S10). Type your answer... 1 point Compute P(S). Type your answer... 5 1 point Compute P(E). Type your answer... Question 1 Suppose you roll a regular fair die twice. Let S, represent the event that the sum of the two rolls is i for i = 2,3,....12 and E represent the event that their product is an even number. That is, + S = {(1, 2): ww = 1, w N, wy ), and E={(ww) : ww is an even number, w ) where ={1,2,3,4,5,6)= representing the sample space for each roll. 6 1 point 7 Compute P(En S). Type your answer... 1 point Compute P(En Ss). Type your answer... 8 1 point Compute P(En S10). Type your answer... 9 2 points $ Are S, and E independent? Justify. 12pt BIUA NEXXEE Paragraph 10 1 point Let S S10 US12 Are S and E independent? Justify. 12pt BIYA IE Paragraph