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

probability is a region of mathematics that deals with the hypothesis of happening of events. It is to forecast that what are the possible chances that the events will occur or the consequence will not occur. The probability as a count lies between 0 and 1 only and can besides be written in the shape of a share or divide. The probability of probably consequence B is often 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 result of an consequence is not confirmed we use the probabilities of sealed 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 cautiously. To understand probability more accurately we take an case as rolling a dice : 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 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

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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

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