With solution please, thank so so so much.

Activity 1. Fair Choice Directions: Encircle the letter of the correct answer. Consider the situation below and answer the questions that follow. Toss a fair coin twice. Let X be the random variable representing the number of tails that occur. 1. Which is the correct sample space for tossing a fair of coin twice? A. { H,T) B. { HH.HT,TT ) C. { HH,HT,TH, TT ; D. { HH, TT ; 2. What are the possible values that the random variable X can take? A. 1, 2 B. 0, 1, 2 C. 0, 1 D. 1, 2, 3 3. What is the probability that two Tails will occur in a toss? A. V/4 B. Yz C. 1/5 D. 2/3 4. What is the probability that one tail will occur in a toss? A. 1/4 B. 1/2 C. 1/5 D. 2/3 5. What is the sum of the probabilities of all the values of the random variable X? A. 12 B. less than 1 C. 0 D. 1