You are presented with a deck of 10 cards, numbered from 1 to 10 and can draw one card. If the number is odd, you win $13. If the number is even, you win nothing. If you play the game, what is the expected payoff? $____

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Calculate odd number probability: Calculate the probability of drawing an odd number. Number of odd cards: 5 (1, 3, 5, 7, 9) Total number of cards: 10 Probability of odd number = Number of odd cards / Total number of cards Probability of odd number = 5 / 10 Probability of odd number = 0.5Calculate even number probability: Calculate the probability of drawing an even number. Number of even cards: 5 (2, 4, 6, 8, 10) Total number of cards: 10 Probability of even number = Number of even cards / Total number of cards Probability of even number = 5 / 10 Probability of even number = 0.5Calculate expected payoff for odd number: Calculate the expected payoff for drawing an odd number. Probability of odd number = 0.5 Amount won for odd number = $13 Expected payoff for odd number = Probability of odd number * Amount won for odd number Expected payoff for odd number = 0.5 * 13 Expected payoff for odd number = 6.5Calculate expected payoff for even number: Calculate the expected payoff for drawing an even number. Probability of even number = 0.5 Amount won for even number = $0 Expected payoff for even number = Probability of even number * Amount won for even number Expected payoff for even number = 0.5 * 0 Expected payoff for even number = 0Calculate total expected payoff: Add the expected payoffs for odd and even numbers to get the total expected payoff. Total expected payoff = Expected payoff for odd number + Expected payoff for even number Total expected payoff = 6.5 + 0 Total expected payoff = 6.5

You are presented with a deck of $10$ cards, numbered from $1$ to $10$ and can draw one card. If the number is odd, you win $\$13$ . If the number is even, you win nothing. If you play the game, what is the expected payoff? $\newline$ $\$$ ____

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You are presented with a deck of $10$ cards, numbered from $1$ to $10$ and can draw one card. If the number is odd, you win $\$13$ . If the number is even, you win nothing. If you play the game, what is the expected payoff? $\newline$ $\$$ ____