Alice and Bob are playing a game. Alice starts first. On Alice's turn, she flips a coin. If she gets a heads, she wins. If not, it becomes Bob's turn. On Bob's turn, he flips a coin. If he gets a tails, he wins. If not, it becomes Alice's turn. What is the probability that Alice wins the game?

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lublana lublana · Answer 1 · 2019-07-30T11:47:35+02:00

Answer:

The probability that Alice wins the game=[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

We are given that Alice and Bob are playing a game .

We have to find the probability that Alice wins the game .

If Alice win when she gets head and lose when she gets tail.Bob wins when she gets tail and she lose when she gets head.

Total results in a coin=Head, tail=2

Number of head in a coin=1

Number of tail in a coin= 1

Probability is defined as the possibility of an event that occurred

[tex]P(E)=\frac{Number\;of\;favourable\;cases}{total\;of\;cases}[/tex]

The probability that Alice wins the game=[tex]\frac{Number\;of\;favourable\;cases}{Total\;number\;of\;cases}[/tex]

The probability that Alice wins the game=[tex]\frac{number \;of \;heads}{Total\; results}[/tex]

The probability that Alice wins the game=[tex]\frac{1}{2}[/tex]