Probability is how likely an outcome occurs. The probability of an event is between 0 and 1 only and is also written in percentage. The probability of event A is often written as P(A).
Whenever we’re not sure about the outcome of an event, then we use probabilities of certain outcomes—how likely they occur. Analysis of these probabilities is called statistics. To understanding probability we take an example as flipping a coin:
There are two possible outcomes—heads or tails.
What’s the probability of the coin landing on tails? You might intuitively know that the likelihood is half/half or 50%.
Formula of Probability
Types of probability
- If P(A) < P(B), then events A and B are unequal likely to occur.
- If P(A) = P(B), then events A and B are equally likely to occur.
What are the odds of flipping heads 100 times in a row?
Solution:
Probability of an event = (Number of ways it can occur) / (total number of outcomes),
P(B) = (Number of ways B can happen) / (Total number of outcomes),
Probability of getting a Head = 1/2.
Tossing a coin is an independent event, it is not dependent on how many times it’s been tossed.
Probability of getting 2 heads in a row = probability of getting head first time × probability of getting head second time.
Probability of getting 2 heads in a row = (1/2) × (1/2).
Similarly, the probability of getting 100 heads in a row = (1/2)100.
Similar Questions
Question 1. What are the odds of flipping tails 100 times in a row?
Solution:
Probability of an event = (Number of ways it can occur) / (total number of outcomes),
P(B) = (Number of ways B can happen) / (Total number of outcomes),
Probability of getting a tails = 1/2.
Tossing a coin is an independent event, it is not dependent on how many times it’s been tossed.
Probability of getting 2 tails in a row = probability of getting tails first time×probability of getting tail second time.
Probability of getting 2 tails in a row = (1/2) × (1/2).
Similarly, the probability of getting 100 tails in a row = (1/2)100.
Question 2. What are the odds of flipping tails 10 times in a row?
Solution:
Probability of an event = (Number of ways it can occur) / (total number of outcomes),
P(B) = (Number of ways B can happen) / (Total number of outcomes),
Probability of getting a tails = 1/2.
Tossing a coin is an independent event, it is not dependent on how many times it’s been tossed.
Probability of getting 2 tails in a row = probability of getting tail first time×probability of getting tail second time.
Probability of getting 2 tails in a row = (1/2) × (1/2).
Similarly, the probability of getting 10 tails in a row = (1/2)10.