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%.

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98