The probability of getting any of the outcomes is 1/6. As the possibility of happening of an event is an equally probable event so there are some chances of getting any number in this case it is either 1/6 or 50/3 %. Formula of Probability
probability of an event = { Number of ways it can occur } ⁄ { sum issue of outcomes } P ( A ) = { Number of ways A happen } ⁄ { full count of outcomes }
Types of Events
- Equally Likely Events: After rolling a dice the probability of getting any of the likely events is 1/6. As the event is an equally likely event so there is some possibility of getting any number in this case it is either 1/6 in fair dice rolling.
- Complementary Events: There is a possibility of only two outcomes which is an event will occur or not. Like a person will play or not play, buying a laptop or not buying a laptop, etc. are examples of complementary events.
If a coin is tossed 5 times, what is the probability that it will always land on the same side?
Solution:
Let us assume that after flipping 5 coins we get 5 heads in result 5 coin tosses. This means, total observations = 25 ( According to binomial concept ) Required consequence → 5 Heads { H, H, H, H, H } This can occur entirely once ! thus, required result =1 now put the probability rule Probability ( 5 Heads ) = ( 1⁄2 ) 5 = 1⁄32 similarly, for the condition with all tails, the necessitate result will be 5 Tails { T, T, T, T, T } probability of happening will be the same i.e. 1⁄32 Hence, the probability that it will constantly land on the lapp side will be, 1⁄32 + 1⁄32 = 2⁄32 = 1⁄16
Similar Questions
Question 1: What is the probability of flipping 5 coins on the Tails side? Solution:
5 mint tosses. This means, total observations = 25 ( According to binomial concept ) Required consequence → 5 Tails { T, T, T, T, T } This can occur alone once ! therefore, required consequence =1
now put the probability formula Probability ( 5 Tails ) = 1⁄25 = 1⁄32
Question 2: What is the probability of flipping 4 coins on the Head’s side? Solution:
4 mint tosses. This means, total observations = 24 ( According to binomial concept ) Required consequence → 4 Heads { H, H, H, H } This can occur entirely once ! therefore, required result = 1 now put the probability formula Probability ( 4 Heads ) = 1⁄24 = 1⁄16
Question 3: What is the probability of flipping 3 coins on the Tails side? Solution:
3 coin tosses. This means, full observations = 23 ( According to binomial concept ) Required result → 3 Tails { T, T, T } This can occur lone once ! thus, required result = 1 now put the probability recipe Probability ( 3 Tails ) = 1⁄23 = 1⁄8
My Personal Notes
Read more: Coin Master – Wikipedia
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