Jay and Jane play a game. Jay goes first. Each player on his/her turn tosses a coin. If it comes up tails, the player who has tossed that coin wins. If it comes up heads, then it's the other person's turn and the game continues.What's the probability Jay wins on his first turn?What's the probability Jay wins on his second turn?What's the probability Jay wins the game? Explain.

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Asked Nov 5, 2019
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Jay and Jane play a game. Jay goes first. Each player on his/her turn tosses a coin. If it comes up tails, the player who has tossed that coin wins. If it comes up heads, then it's the other person's turn and the game continues.

  1. What's the probability Jay wins on his first turn?
  2. What's the probability Jay wins on his second turn?
  3. What's the probability Jay wins the game? Explain.
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Expert Answer

Step 1

We know that when we toss a coin than the probability that get head is ½ and the probability that get tail is ½.

1)

The probability Jay wins on his first turn is calculated as follows:

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The probability Jay wins on his first turn the probability that get tail in first toss 1 2

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Step 2

Since, the probability that Jay wins on his first turn is ½.

Step 3

The probability Jay wins on his second...

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[getting tail in first toss x | getting tail in second toss The probability Jay wins on his second turn = 1 1 2 2 1 22 1 4

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