endel's Theory According to Mendel's theory, if tall and colorful plants are crossed with short and colorless plants, the corresponding probabilities are 3 3 1 for tall and colorful, tall and colorless, short and colorful, and short and colorless, respectively. If 9 plants are selected, find the and 16 16' 16' 16 probability that 3 will be tall and colorful, 2 will be tall and colorless, 4 will be short and colorful, and 0 will be short and colorless. Enter your answer as a simplified fraction or a decimal rounded to at least four decimal places.

Question 2 The table shows the numbers of students in grades 6, 7, and 8 identifying their favorite winter sports. Use the table to find the requested probabilities. Grade Snowboarding Skiing Sixth 27 18 Seventh 22 16 Eighth 20 23 a. Calculate P(student chooses skiing) b. Calculate P(seventh grader| chooses snowboarding) c. If a brother-sister combination of students is in grade 6 and 8 respectively, what is the probability that the brother chooses skiing and the sister choses snowboarding? Question 3 A pizza parlor has 8 different meat toppings for pizza, 7 different cheese toppings, and 6 different vegetable toppings. a. How many different 5 topping pizzas are possible? b. How many 5 topping pizzas can be made that have 2 meat toppings, 2 cheese toppings, and 1 vegetable topping? c. What is the probability that, if you have a 5 topping pizza, it has exactly 2 meat toppings, 2 cheese toppings, and 1 vegetable topping?

When tall and colorful plants are crossed with short and colorless plants, four types of plants will result: tall and colorful, tall and colorless, short and colorful, and short and colorless with the corresponding probabilities: 0.37, 0.42, 0.11, and 0.10. Ten palnts are selected. Find the probability that 5 will be tall and colorful, 2 will be tall and colorless, 2 will be short and colorful, and 1 will be short and colorless. Distribution type Probability Is any unusual

A guy is gambling the dealer makes 21. The cards showing on the table are: 10 & 9, 8 & 9, Q & 5, and Q & 8. The dealer’s hand shows a 6, 2, 2, 4, and 2. Assuming that these are the only cards out of a single deck, what is thethe probability that the dealer makes 21 with the next “hit”