**Problem: Card Drawing**Amanda randomly chooses a card from a deck of four cards numbered 1 to 4. Without replacing that card, she draws a second card.**a) Are the outcomes disjoint?**- Option selected: Yes, disjoint.**Explanation:**- Selected explanation: They are disjoint because you are not replacing the cards, and each card has a different value.**b) List the sample space.**- A prompt is provided to enter a list of integer or decimal numbers.**c) Are the events independent?**- Option selected: No, not independent.**Explanation:**- Selected explanation: You are not replacing the cards, so the second draw has a different probability.---The diagram interacts with the user by allowing them to select answers to the questions. Correct answers are indicated with a checkmark.

There is a deck of 4 cards which are numbered as 1, 2, 3 and 4. 2 cards are drawn without replacement.The outcomes are disjoint. The correct option is : yes disjoint The outcomes are disjoint because the both outcomes can not happen simultaneously as the the two cards are drawn without replacement and the 4 cards have different values. Correct option is : They are disjoint because you are replacing the cards and each card has a different value.Sample space is the collection of all possible outcomes. Sample space is : S=12, 13, 14, 21, 23, 24, 31, 32, 34, 41, 42, 43The events are not independent. Correct option is : No not independent After drawing the first card the card is not returned to the deck before the second draw. Therefore the number of cards available for the second draw is 3. Also the outcome of the first draw can not appear in the second draw. Hence the outcome of the second draw is dependent on the outcome of the first draw. Correct option is : You are not replacing the cards, so second draw has different probability