Identify the contradiction.  If I sing a song today, then I will sing a song today.  I will sing a song today, and I will not sing a song today.  I will sing a song today if and only if I will sing a song today.  I will sing a song today, or I will not sing a song today.

Consider statements p and q. p: More freshman chose to major in history than in nursing. q: Math was chosen by the fewest number of freshmen.

pont 2. Ms. Liu tells you that on each weekday, visitors return to her website an average of twice, and on weekends, visitors return four times per day. She adds that these two groups of users are different. She wants to know how many unique visitors (e, the number of users who visit the site, regardless of the number of their visits) visit her site on weekdays and weekends. Please note that if a particular visitor comes to the site every day or several times a day, it still counts as only one visit. A 6 of Visits 1 Visits 2 of Days 150 on weekdays, 110 on weekends 200 on weekdays, 140 on weekends O125 on weekdays, 100 on weekends 175 on weekdays, 120 on weekends O 225 on weekdays, 160 on weekends D Unique Visitors NaN

Please show work A jar contains 10 ping pong balls, 7 are red, 2 are white, and 1 is blue. A lottery game costs $2 to play. The game consists of randomly selecting a ping pong ball. If you select a red marble, you lose the $2 you paid to play the game. If you select a white ping pong ball, you get back the $2 you paid to play (so, you neither win not lose any money). If you select a blue ping pong ball, you get back your $2, plus an additional $12 (so, you win $12). Findthe expected value of playing this lottery game.