Question

A fellow classmate tosses 5 coins and finds that 3 of them come up tails. Which of the following is the best conclusion for her to come to?. . A.This could easily happen with a fair coin after only 5 flips.. . B.If she flips the coins once more, they will all come up heads. . . C.She needs to keep flipping the coins until she gets 50% heads in order to determine if they are fair. . . D.The coins are unfair.

Answer 1

Answer:

Option: A is the correct answer.

A.This could easily happen with a fair coin after only 5 flips.

Step-by-step explanation:

As we know that when a coin is tossed 5 times than the total number of outcomes that are resulting from these flips are:

                              $2^5$

where:

$2^5=2\times 2\times 2\times 2\times 2\\\\2^5=32$

Hence, the total outcomes that are possible are: 32

Also, when a coin is fair any of the possibility could come up:

• All are tails

• All are heads.

• One tail four heads.

• One head four tail.

• Two tail three heads.

• Two heads three tails.

 Hence, option: A is the correct answer.

Answer 2

A.This could easily happen with a fair coin after only 5 flips