File Details:

Questions:

1. Explain the simple and compound events concerned with probability.
2. Find the probability of selecting a vowel 'e' from vowels chosen at random from an English book.
3. In a single throw of two dice, what is the probability of getting a total of at least 10?
4. Explain the multiplication theorem related to probability.
5. In a game, cards are thoroughly shuffled and distributed equally among four players. What is the probability that a specific player gets all the four kings?
6. Elucidate conditional probability.
7. Describe Bernoulli's theorem.
8. Explain the Binomial Distribution.
9. Construct Pascal's triangle when n=9.
10. Expand the Binomial 128(1/2+1/2)^5.
11. Describe the importance and applications of Probability.
12. Two cards are randomly drawn from a deck of cards and thrown away. What is the probability of drawing an ace in a single draw from the remaining 50 cards?
13. Explain the properties of Normal Distribution.
14. Find the Probability of the following outcomes when 8 coins are tossed simultaneously: (i) One head, (ii) 6 Heads, (iii) At least 6 Heads, (iv) No head, (v) All heads.
15. Explain the Poisson Distribution.
16. Eight coins are tossed at a time 256 times, and the number of heads observed at each toss is recorded. Find the expected frequencies. What are the values of mean and standard deviation of the theoretical distribution?