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One of your childhood friends describes the following carnival game, which will

ID: 3065033 • Letter: O

Question

One of your childhood friends describes the following carnival game, which will cost 4 quarters to play. The player flips all 4 quarters- if all coins land HEADS, the player receives their money back and an additional $3 (total of $4); if exactly one coin lands HEADS, the player receives their money back (total of $1); otherwise, the player loses all their quarters (total of $O). Calculate the probability of receiving $1 from playing this game o 0.03125 O 00625 0.5 0.125 0.25 D | Question 3 1 pts One of your childhood friends describes the following carnival game. which will cost 4 quarters to play. The playe flips all 4 quarters - if all coins land HEADS, the player receives their money back and an additional $3 (total of $4): if exactly one coin lands HEADS, the player receives their money back total of $1); otherwise, the player loses all their quarters (total of $O) Calculate the expected amount of money (in dollars) the player will receive from this game

Explanation / Answer

When a player flips all the 4 quarters, Then 16 Possible outcomes are : HHHH, HHHT, HHTH, HTHH, THHH HHTT, HTTH, TTHH, HTHT, THTH, THHT HTTT, THTT, TTHT, TTTH,TTTT

To earn total of $1 exactly 1 coin should land head. 4 such possible outcomes are: HHHT, HHTH, HTHH, THHH

Therefore required probability =1/4 = 0.25