In a card game, you can either draw one card and win $10 or draw two cards and win $30 if both are red, but lose $15 if at least one is black. Which option is more favorable based on expected value?

In a game, you can either roll a fair six-sided die and win $20 if it lands on an even number or lose $10 if it lands on an odd number. Alternatively, you can draw a card from a standard deck and win $30 if it is a face card, but lose $15 if it is not. Which option is more favorable based on expected value?

You are considering two investment options. Option R has a 50% chance of yielding a $150 profit and a 50% chance of a $100 loss. Option S has a 30% chance of a $200 profit and a 70% chance of a $150 loss. Which option should you choose based on expected value?

You are playing a game where you can either flip a fair coin and win $30 if it lands heads or lose $15 if it lands tails. Alternatively, you can roll a fair six-sided die and win $40 if it lands on 6 but lose $20 if it lands on any other number. Which option is more favorable based on expected value?

You are considering two investment options. Option M has a 60% chance of yielding a $100 profit and a 40% chance of a $75 loss. Option N has a 40% chance of a $150 profit and a 60% chance of a $120 loss. Which option should you choose based on expected value?

You are considering two investment options. Option X has a 70% chance of yielding a $100 profit and a 30% chance of a $50 loss. Option Y has a 40% chance of a $200 profit and a 60% chance of a $100 loss. Which option should you choose based on expected value?

You are playing a game where you can either draw a card from a standard deck and win $30 if it is a face card or lose $15 if it is not. Alternatively, you can roll a biased six-sided die with a 0.6 probability of landing on an even number and win $25 or lose $10 if it lands on an odd number. Which option is more favorable based on expected value?

You are considering two investment options. Option P has a 50% chance of yielding a $200 profit and a 50% chance of a $150 loss. Option Q has a 30% chance of a $300 profit and a 70% chance of a $200 loss. Which option should you choose based on expected value?

In a game, you can either draw a card from a standard deck and win $25 if it is a black card or lose $12 if it is a red card. Alternatively, you can roll a fair six-sided die and win $30 if it lands on an even number but lose $15 if it lands on an odd number. Which option is more favorable based on expected value?

You are playing a game where you can either flip a biased coin with a 0.8 probability of landing heads and win $40 or lose $20 if it lands tails. Alternatively, you can roll a fair six-sided die and win $30 if it lands on an odd number but lose $15 if it lands on an even number. Which option is more favorable based on expected value?