If a coin is tossed 5 times, what is the probability that it will always land on the same side? – GeeksforGeeks

probability is a separate of mathematics that deals with the possibility of happening of events. It is to forecast that what are the potential chances that the events will occur or the event will not occur. The probability as a count lies between 0 and 1 only and can besides be written in the imprint of a percentage or fraction. The probability of probably event B is frequently written as P ( B ). here P shows the possibility and B show the happen of an consequence. similarly, the probability of any event is much written as P ( ). When the end consequence of an event is not confirmed we use the probabilities of certain outcomes—how likely they occur or what are the chances of their happen. Though probability started with a gamble, in the fields of Physical Sciences, Commerce, Biological Sciences, Medical Sciences, Weather Forecasting, and so forth, it has been used carefully. To understand probability more accurately we take an exemplar as rolling a die :

The possible outcomes are — 1, 2, 3, 4, 5, and 6. The probability of getting any of the outcomes is 1/6. As the possibility of happening of an event is an equally likely 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 } ⁄ { entire numeral 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 leave 5 mint tosses. This means, entire observations = 25 ( According to binomial concept ) Required result → 5 Heads { H, H, H, H, H } This can occur only once ! thus, required consequence =1 now put the probability recipe Probability ( 5 Heads ) = ( 1⁄2 ) 5 = 1⁄32 similarly, for the condition with all tails, the want 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 always 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 coin tosses. This means, sum observations = 25 ( According to binomial concept ) Required consequence → 5 Tails { T, T, T, T, T } This can occur only once !

frankincense, required consequence =1 now put the probability recipe Probability ( 5 Tails ) = 1⁄25 = 1⁄32

Question 2: What is the probability of flipping 4 coins on the Head’s side? Solution:

4 coin tosses. This means, total observations = 24 ( According to binomial concept ) Required result → 4 Heads { H, H, H, H } This can occur only once ! thus, required consequence = 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, total observations = 23 ( According to binomial concept ) Required result → 3 Tails { T, T, T } This can occur merely once ! frankincense, required consequence = 1 now put the probability formula Probability ( 3 Tails ) = 1⁄23 = 1⁄8

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Category : Coin

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