Aconcert organizer recorded the number of people in different age groups who attended a concert. she then created the following histogram: histogram with title concert attendance, horizontal axis labeled age group (year) with bins 0 to 19, 20 to 39, 40 to 59, and 60 to 79 and vertical axis labeled number of people with values from 0 to 60 at intervals of 10. the first bin goes to 40, the second goes to 50, the third goes to 30, and the last goes to 20. which of the following statements best compares the height of the bars of the histogram? there are more participants in the 0–19 age group than in the 40–59 and 60–79 groups combined. there are more participants in the 20–39 age group than in the 40–59 and 60–79 groups combined. there are twice as many participants in the 0–19 age group than in the 60–79 age group. there are 3 times as many participants in the 60–79 age group than in the 20–39 age group.

You are in a room of 22 people (including yourself). each of you has their own deck of 52 cards — assume each deck is well-shuffled, and can be assumed to be fair and independent of each other.1. each you draws the top card of your deck.what is the probability that at least one other person has drawn the same card as you? 2. let x be the number of people who drew a card that was also drawn by at least one other person. for example, if you all drew the same card, x=22, but if you all drew different cards, x=0. what is the expected value of x? 3. consider the same situation as the last question, but this time with 29 people: all 29 of you are in a room with your own decks of cards, and you draw one of them.what is the probability that at least one person draws the ace of spades? 4. let x be the number of the types of card drawn. for example, if everyone draws the same card, x=1, but if everyone draws a different card, x=29. what is the expected value of x?