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 event is not going to happen i.e. Impossibility and 1 indicates that it is going to happen for sure i.e. Certainty. Show The higher or lesser the probability of an event, the more likely it is that the event will occur or not respectively. For example – An unbiased coin is tossed once. So the total number of outcomes can be 2 only i.e. either “heads” or “tails”. The probability of both outcomes is equal i.e. 50% or 1/2. So, the probability of an event is Favorable outcomes/Total number of outcomes. It is denoted with the parenthesis i.e. P(Event).
What is Sample Space? All the possible outcomes of an event are called Sample spaces. Examples-
Types of EventsIndependent Events: If two events (A and B) are independent then their probability will be
Example: If two coins are flipped, then the chance of both being tails is 1/2 * 1/2 = 1/4 Mutually exclusive events:
Example: The chance of rolling a 2 or 3 on a six-faced die is P (2 or 3) = P (2) + P (3) = 1/6 + 1/6 = 1/3 Not Mutually exclusive events: If the events are not mutually exclusive then
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)
Example- In a bag of 3 black balls and 2 yellow balls (5 balls in total), the probability of taking a black ball is 3/5, and to take a second ball, the probability of it being either a black ball or a yellow ball depends on the previously taken out ball. Since, if a black ball was taken, then the probability of picking a black ball again would be 1/4, since only 2 black and 2 yellow balls would have been remaining, if a yellow ball was taken previously, the probability of taking a black ball will be 3/4. How many ways can you roll a sum of 8 with two dice?Solution:
Similar QuestionsQuestion 1: How many ways can you roll a 7 with two dice? Solution:
Question 2: How many ways can you roll a 6 with two dice? Solution:
Question 3: How many ways can you roll a 5 with two dice? Solution:
How many ways can you get 8 with 2 dice?So, in 5 ways we can roll a 8 with two dice.
How many ways can you make 8?And eight plus zero. There are nine ways to make eight, but one of the expressions is missing. We could use the cube train to help us find the missing expression.
When 2 dice are rolled find the probability of getting a sum of 8?Probability of getting a sum of 8 is 5/36.
How many ways can 2 dice make 7?Explanation: When two dices are rolled, there are six possibilities of rolling a sum of 7. These are (2, 5), (1, 6), (3, 4), (4, 3), (5, 2), (6, 1).
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