Sally has two coins. the first coin is a fair coin and the second coin is biased. the biased coin comes up heads with probability .75 and tails with probability .25. she selects a coin at random and flips the coin ten times. the results of the coin flips are mutually independent. the result of the 10 flips is: t, t,h, t,h, t,t, t,h, t. what is the probability that she selected the biased coin?

50%

Step-by-step explanation:

''What is the probability that she selected the biased coin?”

When we have n possible outcomes of an event and all of them have the same probability of appearance, then in theory each possibility has a probability 1/n of being the result of the event.

In this case the event is choosing randomly a coin out of 2, so no matter what the biased coin is or the results we get when we toss it, the probability of choosing the biased coin is ½ = 0.5 or 50%.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

the answer is c)8

step-by-step explanaction: