Please help me Cassie has a deck of 20 cards numbered 1-20. She randomly picks a card, does not replace it, and then randomly picks another card. Find the probability of each event.

1. Picks a 5 and then a 6

2. Picks an even number and then a 7

3. Picks a 5 or less and the. A number greater than 15

4. Picks a 1 and then a number greater than 4

In trapezoid abcd, ac is a diagonal and ∠abc≅∠acd. find ac if the lengths of the bases bc and ad are 12m and 27m respectively.

Aroulette wheel has 38 slots in which the ball can land. two of the slots are green, 18 are red, and 18 are black. the ball is equally likely to land in any slot. the roulette wheel is going to be spun twice, and the outcomes of the two spins are independent.the probability that it lands one time on red and another time on black in any order is(a) 0.5 (b) 0.25 (c) 0.4488 (d) 0.2244

Dana wants to identify the favorite professional baseball team of people in her community. she stands outside a local sporting goods store and asks every other person who enters, "what is your favorite professional baseball team? " will the results of her survey be valid? explain.