Question

A coin is weighted so that it flips tails five times as often as it comes up heads. If this coin is flipped forty-two times, which of the following is equal to the probability of having the number of heads flipped equal to six times the number of tails flipped?

A. ( 42/6 )( 6/5 ) 6 ( 6/1 ) 35
B ( 42/7 )( /7/6 ) 7 ( 7/1 ) 35

Answer 1

The probability of having the number of heads flipped equal to six times the number of tails flipped is 0.

Step-by-step explanation:

To find the probability of having the number of heads flipped equal to six times the number of tails flipped, we need to calculate the probability of getting the number of heads and tails in the specified ratio.

Let's assume that the probability of getting a head is 'x', then the probability of getting a tail is '5x' as given in the question.

Total number of flips = 42

Number of heads = 6 * Number of tails

We can set up the following equation: 6x + 42 = 42. Solving this equation gives x = 0.

Since the probability of getting a head is 0, the probability of having the number of heads flipped equal to six times the number of tails flipped is 0