{"status": "success", "data": {"description_md": "Johann has $64$ fair coins. He flips all the coins. Any coin that lands on tails is tossed again. Coins that land on tails on the second toss are tossed a third time. What is the expected number of coins that are now heads?\n\n$\\textbf{(A) } 32 \\qquad\\textbf{(B) } 40 \\qquad\\textbf{(C) } 48 \\qquad\\textbf{(D) } 56 \\qquad\\textbf{(E) } 64$", "description_html": "<p>Johann has  <span class=\"katex--inline\">64</span>  fair coins. He flips all the coins. Any coin that lands on tails is tossed again. Coins that land on tails on the second toss are tossed a third time. What is the expected number of coins that are now heads?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) } 32 \\qquad\\textbf{(B) } 40 \\qquad\\textbf{(C) } 48 \\qquad\\textbf{(D) } 56 \\qquad\\textbf{(E) } 64</span> </p>\n<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2015 AMC 10B Problem 18", "can_next": true, "can_prev": true, "nxt": "/problem/15_amc10B_p19", "prev": "/problem/15_amc10B_p17"}}