I need help with the following probability questions. Thanks

Use the pattern in Pascal's triangle to find the probability of getting 6 heads when Pascal's Triangle seven fair coins are tossed. Row Number Row Sum The probability of getting 6 heads when seven fair coins are tossed is (Type an integer or a simplified fraction.) 8 16 10 32 20 15 64 35 35 21 128 28 56 70 56 28 256 36 84 126 126 84 36 512A fair die is rolled four times. A 2 is considered "success," while all other outcomes are "failures." Find the probability of 3 successes. The probability of 3 successes is (Type an integer or a simplified fraction.)If Andrew's batting average is exactly 0.400 going into the series, and that value is based on exactly 200E] career hits out of 5000 previous times at bat, what is the greatest his average could possibly be when he goes up to bat the tenth time ofthe series? The greatest possible average is D. (Round to three decimal places as needed.) If Andrew's batting average is exactly 0.200 going into the series, and that value is based on exactly 800 career hits out of 4000 previous times at bat, what is the least his average could possibly be when he goes up to bat the tenth time ofthe series? The least possible average is D. [Round to three decimal places as needed.) Beth is taking an eleven-question multiple-choice test for which each question has three answer choices, only one of which is correct. Beth decides on answers by rolling a fair die and marking the first answer choice if the die shows 1 or 2, the second if the die shows 3 or 4, and the third if the die shows 5 or 6. Find the probability of the stated event. exactly three correct answers The probability of Beth getting exactly three correct answers is (Simplify your answer. Type an integer or a decimal rounded to three decimal places as needed.)