(Solved): Here is a table showing all 52 cards in a standard deck. Suppose a card is drawn at random from a s ...

Here is a table showing all 52 cards in a standard deck. Suppose a card is drawn at random from a standard deck. The card is then shuffed back into the deck. Then for a second time a card is drawn at random from the deck. The card is then shuffled back into the deck. Finally, for a third time a card is drawn at random from the deck. What is the probability of first drawing a face card, then a diamond, and then a heart? Do nok round your intermediate computations. Round your final answer to four decimal places. (If necessary, consult a list of fomulas.) Here is a table showing all 52 cards in a standard deck. Fara rarde A card is drawn at random from a standard deck. That card is not put back in the deck, and a second card is drawn at random from the remaining cards in the deck. What is the probability that the first card drawn is a heart and the second card drawn is black? Do not round your intermediate computations. Round your final answer to four decimal places. (if necessary, consult a list of formulas-) The Venn dagram below shows the "I students in Mr, Clark's class. The dagram shews the memberihips for the Music Club and the Volleyball Club. Note thst "Jina" and "Heather" are outside the cirdes since they are not members of either dub. One student from the dass is randomly selected. Let $${}^A$$ dencte the event "the student is in the Musk Oub." Lot "denote the event "the student is in the Volleyball Club." Answer each part below. If neceusary, consult a lint of formetas. (d) Find the probabilitiei of the events below. Write each answer as a single fraction. $$\begin{array}{l}P(A)=\\ r(n)=\\ r(A\text{ ond }n)=\\ r(A\text{ of }n)=\\ P(A)+P(n)?r(1\text{ and }n)=\end{array}$$ $$(a)$$ $$P(4$$ or $$a)$$ $$F(A)$$ (A and $$A)$$