What is Sample Space?

All the possible outcomes of an event are called Sample spaces.

Examples-

  1. A six faced dice is rolled once. So, total outcomes can be 6 and 
    Sample space will be [1, 2, 3, 4, 5, 6]
  2. An unbiased coin is tossed, So, total outcomes can be 2 and 
    Sample space will be [Head, Tail]
  3. If two dice are rolled together then total outcomes will be 36 and 
    Sample space will be 
    [ (1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)   
      (2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)   
      (3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)   
      (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)   
      (5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)   
      (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6) ]

What is the probability of getting a sum of 7 when two dice are thrown?

Similar Reads

Answer: Probability of getting the sum of 7 = Favorable outcomes / Total outcomes = 6 / 36 = 1/6 So, P(sum of 7) = 1/6.

Probability means Possibility. It states how likely an event is about to happen. The probability of an event can exist only between 0 and 1 where 0 indicates that the event is not going to happen i.e. Impossibility and 1 indicates that it is going to happen for sure i.e. Certainty....

What is Sample Space?

All the possible outcomes of an event are called Sample spaces....

Types of Events

Independent Events: If two events (A and B) are independent then their probability will be P(A and B) = P (A ∩ B) = P(A).P(B) i.e. P(A) * P(B)...

Mutually exclusive events

If event A and event B can’t occur simultaneously, then they are called mutually exclusive events. If two events are mutually exclusive, then the probability of both occurring is denoted as P (A ∩ B) and P (A and B) = P (A ∩ B) = 0 If two events are mutually exclusive, then the probability of either occurring is denoted as P (A ∪ B) P (A or B) = P (A ∪ B)                   = P (A) + P (B) − P (A ∩ B)                   = P (A) + P (B) − 0                   = P (A) + P (B)...

What is Conditional Probability?

For the probability of some event A, the occurrence of some other event B is given. It is written as P (A ∣ B)...