please help me answer the following in step by step process

35. If you flipped a coin, what is the probability it will land on heads? 1 36. A card is selected from a deck of playing cards. What is the probability of selecting a red card? 1 37. You pick a marble from this bag. What is the probability you will choose either a black or white marble? IL 3/5 4/10 1/10 3/1038. How many outcomes are there with tossing a coin and rolling a dice? N 12 24 39. The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than "A"? 2/7 5/7 5/49 10/49 40. The tree diagram shows the outcomes of rolling a die and flipping a coin. What is the probability of rolling an even number and flipping a head? Die Coin H TH 1/4 1/2 1/3 3/441. The following M & M's colors are in the bowl: 4 yellow, 6 orange, 3 green, 5 blue, 2 brown. What is the probability of selecting a brown candy? 1/9 1/10 3/20 1/4 42. How many total outfit options are represented? Sneakers Jeans Sandals T-Shirt Sneakers Khakis Sandals Sneakers Jeans Sandals Outfits Polo Shirt Sneakers Khakis Sandals Sneakers Jeans Sandals Sweater Sneakers Khakis Sandals43. How many outcomes when choosing a vowel (a, e, i o, u) and then a number (2 or 6)? 5 6 10 12 44. Nanette must pass through three doors as she walks from her company's foyer to her office. Each of these doors may be locked or unlocked. [Let "L" designate "locked" and U" designate "unlocked" ] List the outcomes of the sample space. (LLU, LUL, ULL, UUL, ULL, LUU} (LLL, UUU} (LLL, LLU, LUL, LUU, ULL, ULU, UUL, UUU} None of these45. A 12-sided die can be made from a geometric solid called a dodecahedron. Assume that a fair dodecahedron is rolled. The sample space is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. Find P(Less than 3). 1/4 2/3 1/12 1/6 46. From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done? 564 645 735 756 47. How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated? 5 10 15 2048. In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women? 266 5040 11760 86400 49. In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions? 32 48 36 60 50. How many 4 - letter words with or without meaning, can be formed out of the letters of the word, "LOGARITHMS', if repetition of letters is not allowed? 40 400 5040 2520