document.write( "Question 1119136: Suppose we want to determine the (binomial) probability (p) of getting 4 heads in 10 flips of a 2-sided coin. Using the Binomial Table in the appendix of the text, what values of n, x and p would we use to look up this probability, and what would be the probability? \n" ); document.write( "
Algebra.Com's Answer #734601 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Obviously we can't use the table in the appendix of your text to answer your question....! \n" ); document.write( "Since the problem is about binomial probability, n is probably the number of trials (10), x is probably the number of favorable outcomes (heads; 4), and p is the probability of getting heads on each flip (presumably 1/2, since the coins should be fair coins if the statement of the problem doesn't say otherwise.) \n" ); document.write( "To find the probability of getting 4 heads on 10 flips of a fair coin, without using your table, the denominator of the probability fraction is 2^10=1024, because there are two equally likely outcomes on each flip; the numerator is the number of ways 4 of the 10 flips can be heads, which is \"10 choose 4\", 10C4 = 210. \n" ); document.write( "The probability is then 210/1024 = 105/512. \n" ); document.write( " |