{"status": "success", "data": {"description_md": "Coin $A$ is flipped three times and coin $B$ is flipped four times.  What is the probability that the number of heads obtained from flipping the two fair coins is the same?\n\n$\\mathrm{(A) \\ } \\frac{19}{128} \\qquad \\mathrm{(B) \\ } \\frac{23}{128} \\qquad \\mathrm{(C) \\ } \\frac14 \\qquad \\mathrm{(D) \\ } \\frac{35}{128} \\qquad \\mathrm{(E) \\ } \\frac12$", "description_html": "<p>Coin  <span class=\"katex--inline\">A</span>  is flipped three times and coin  <span class=\"katex--inline\">B</span>  is flipped four times.  What is the probability that the number of heads obtained from flipping the two fair coins is the same?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A) \\ } \\frac{19}{128} \\qquad \\mathrm{(B) \\ } \\frac{23}{128} \\qquad \\mathrm{(C) \\ } \\frac14 \\qquad \\mathrm{(D) \\ } \\frac{35}{128} \\qquad \\mathrm{(E) \\ } \\frac12</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": 1, "problem_name": "2004 AMC 10A Problem 10", "can_next": true, "can_prev": true, "nxt": "/problem/04_amc10A_p11", "prev": "/problem/04_amc10A_p09"}}