i need help with those questions. please help me to find the correct answer to this. I'm keep posting them but they are answered wrong.

Serial numbers for a product are to be made using 4 letters followed by 2 digits. The letters are to be taken from the first 6 letters of the alphabet, with no repeats. The digits are taken from the 10 digits (0, 1, 2, ..., 9), with no repeats. How many serial numbers can be generated? (If necessary, consult a list of formulas.) X ?Here is a table showing all $2 cards in a standard deck. Face cards Color Suit | Ace Two Three Four Five Six Seven Eight Nine Ten Jack Queen King Red Hearts 20 3 5 80 90 109 JO Q0 KO Red Diamonds 8 90 100 34 20 KO Black Spades 4 5 84 94 104 J4 04 KG Black Clubs | Ad 24 34 44 54 68 74 84 94 104 J4 04 K& Suppose one card is drawn at random from a standard deck. Answer each part. Write your answers as fractions. (a) What is the probability that the card drawn is a diamond? DO X (b) What is the probability that the card drawn is a six? (c) What is the probability that the card drawn is a diamond or a six?A number cube is rolled three times. An outcome is represented by a string of the sort OFE (meaning an odd number on the first roll, an even number on the second roll, and an even number on the third roll). The o outcomes are listed in the table below. Note that each outcome has the same probability. For each of the three events in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event. Outcomes Probability EEE OOE EOE OEO OEE EOO ooo EEO X 5 ? Event A: An even number on both the first and the last rolls Event B: No even numbers on the first two rolls Event C: Two or more even numbers 0(a) A flute instructor examined student progress. He found that playing a longer song does not necessarily mean that a student will have more or fewer wrong notes. What can he conclude? OThere is no correlation between song length and number of wrong notes. There is a correlation between song length and number of wrong notes. There may or may not be causation. Further studies would have to be done to determine this. OThere is a correlation between song length and number of wrong notes. There is probably also causation. This is because there is likely an increase in the number of wrong notes with an increase in the song length. (b) An environmental study was conducted. It reported that, for a park, having more visitors indicates having a larger number of trees. What can be determined? There is no correlation between number of visitors and number of trees. OThere is a correlation between number of visitors and number of trees. However, there is no causation. This is because there is an increase in the number of trees with an increase in the number of visitors. There is a correlation between number of visitors and number of trees. There may or may not be causation. Further studies would have to be done to determine this. (c) Data was collected at a tennis court. It showed that being older implies that a player will stay for a shorter length of time. What is likely true? O There is no correlation between age and length of stay. There is a correlation between age and length of stay. There may or may not be causation. Further studies would have to be done to determine this. There is a correlation between age and length of stay. However, there is no causation. This is because there is a decrease in the length of stay with an increase in age.Heather must choose a size, a flavor of ice cream, and a topping for her ice cream dessert. There are three sizes to choose from: small, medium, and large. There are two flavors to choose from: chocolate and strawberry. There are two toppings to choose from: nuts and cherries. The tree diagram below shows the possible outcomes. Use the diagram to answer the questions. Size Flavor Topping Outcome nuts (small, chocolate, nuts) chocolate cherries (small, chocolate, cherries) small nuts (small, strawberry, nuts) strawberry cherries small, strawberry, cherries) nuts (medium, chocolate, nuts) chocolate cherries medium, chocolate, cherries) medium nuts (medium, strawberry, nuts) strawberry cherries (medium, strawberry, cherries) nuts (large, chocolate, nuts) chocolate cherries (large, chocolate, cherries) large nuts (large, strawberry, nuts) strawberry cherries (large, strawberry, cherries ) (a) How many outcomes are there? outcome(s) (b) How many outcomes have a medium or a large being chosen? Ioutcome (s) (c) How many outcomes have both strawberry ice cream and nuts being chosen? outcome (s)