You pick a card from a deck.If you get a face card,you win $5.If you get an ace,you win $30 plus an extra $50 for the ace of hearts.For any other card you win nothing.
Create a probability model for the amount you win at this game.

Question

Quizplus · Accepted Answer

The probability of getting a face card is 12/52, which simplifies to 3/13. The probability of getting an ace is 4/52, which simplifies to 1/13. The probability of getting the ace of hearts is 1/52. For any other card, the probability is 36/52, which simplifies to 9/13. 
Therefore, the probability model for the amount you win at this game is as follows:
- You win $5 with probability 3/13
- You win $30 + $50 with probability 1/52
- You win nothing with probability 9/13.

You Pick a Card from a Deck