Flip two fair coins. Then the sample space is {HH, HT, TH, TT} where T = tails and H = heads. The outcomes HT and TH are different and the HT means that the first coin showed heads and the second coin showed tails. The TH means that the first coin showed tails and the second coin showed heads. Let A = the event of getting at most one tail. What is the probability of event A?   a. 0.25   b. 0.66   c. 0.75   d. 0.50

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K rch Write out the sample space and assume each outcome is equally likely. Then give the probability of the requested outcomes. A man is shopping for a new patio umbrella. There is a 9-foot and a 12-foot model, and each is available in gray, forest green, and white. (a) He buys a 12-foot forest green umbrella. (b) He buys a 9-foot umbrella. (c) He buys a gray-colored umbrella. Write out the sample space. Choose the correct answer below. OA. {(9-foot, gray), (9-foot, forest green), (9-foot, white), (12-foot, gray), (12-foot, forest green), (12-foot, white)} OB. {(9-foot, 12-foot), (gray, forest green), (forest green, white), (gray, white)} OC. {(9-foot, gray), (9-foot, forest green), (9-foot, white), (12-foot, gray), (12-foot, forest green)} OD. Ø (a) He buys a 12-foot forest green umbrella. The probability is (Type an integer or a simplified fraction.) O t ... er (DELL) Time Remaining: 01:36:59 66°F @ 3 Next 2:27 PM 12/3/2022

Flip two fair coins. Then the sample space is {HH, HT, TH, TT} where T = tails and H = heads. The outcomes HT and TH are different and the HT means that the first coin showed heads and the second coin showed tails. The TH means that the first coin showed tails and the second coin showed heads. Let A = the event of getting at least one tail while letting B = the event of getting all tails. What is the probability of event A ∩ B?   a. 0.66   b. 0.50   c. 0.25   d. 0.75