Card trees. There are 8 cards in a hat: {1 ♥, 1 ♠, 1 ♦, 1 ♣, 2 ♥, 2 ♠, 2 ♦, 2 ♣}. First, you draw one card at random, if the card has number 1, you draw one more card; if the card has number 2, draw two more cards. Let X be the random variable that counts the sum of the numbers that appear on the cards. (a) What is the probability that the sum is 2? (b) What is the probability that the sum is 6? 20 puntos (a) P = 3/14, (b) P= 2/7 (a) P = 1/7, (b) P= 1/14 (a) P = 1/7, (b) P= 1/7 (a) P = 3/14, (b) P= 1/14

What graph correctly matches the equation y equals two negative x

Jessica is organizing a guided tour of the rain forest. the average profit per person that the touring company makes is given by the rational expression 18x+35/x, where x is the number of people going on the tour. what does the numerator of this rational expression represents?

Aking and his army will attempt to capture a fortress. the left and right flanks break off from the main group to attack the west and east guard towers. suppose the left flank has a 60% chance of success and the right flank has a 75% chance of success, independently of one another. if both flanks capture their respective targets, then the king has a 98% chance of successfully taking the fort. if, however, only the left flank captures its tower, the king has an 80% chance of success; if only the right flank succeeds, the king has a 50% chance. if both flanks fail, then the king's chance of capturing the fort drops to 20%. it turns out the king captures the fort. what is the probability that one, and only one, flank was successful (either the left, or the right, but not both)? (round your answer to 3 decimal places)