mathematics

class VII

#### Key Concepts

probability, random experiment, trial, chances, doubt, empirical probability

#### essential questions

1. What influences the probability that a given event will occur?
2. What is the difference between experimental and theoretical probability?
3.What determines whether an event is dependent or independent?
4.How can we use modeling to form a prediction?

#### understanding:

1. A coin is tossed 100 times with following frequencies: Heads: 445  Tail: 555 When a coin is tossed at random, what is the probability of getting: a) Heads   b) tails
2. A die is thrown 100 times and outcomes are noted as given below:

Outcome:     1       2       3     4       5     6

Frequency:  21     9       14   23     18   15

If a die is thrown at random, find the probability of getting a/ an:   a) 3    b)  5     c) 4    d) even number     e) odd number    f) number less than 3

3. A box contains a pair of socks of two colors (black and white). I have picked out a white sock. I pick out one more with my eyes closed. What is the probability that I will make a pair?

4. Probability of getting even number in a single throw of dice is: a) 1/2    b) 1/6   c) 5/6   d) none

5. P(E) = 0.37    then P (not E) will be: a) 0.37   b)0.63   c) 0.57   d) None

6. There are 5 prizes on 1000 tickets of a lottery of company. Probability of winning prize is: a)199/200   b) 1/200  c) 198/200   d) none

7. Probability of drawing an ace from a deck of 52 cards: a) 1/52   b) 1/26   c) 3/52   d) 1/13

8. A bag contains 3 red and 2 blue balls. A marble is drawn at random. What is the probability of drawing a blue marble?  a) None   b) 1/5   c) 3/5   d) 2/5

#### Application:

A number is selected at random from the first five natural numbers. Find the probability that the number is a prime: a) 3/7   b) 4/7  c) 3/5   d) 2/5