Answer: The probability that the next card Ted picks will be a baseball card is 7 out of 20, or 7/20.
Step-by-step explanation: To determine the probability that the next card Ted picks will be a baseball card, we need to use the concept of probability in mathematics. Probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. In this instance, the number of times Ted randomly picked a baseball card was 7. The total number of cards he picked is the sum of all the types of cards he picked, which is 7 baseball + 6 football + 3 soccer + 4 hockey = 20 cards. Therefore, the probability of picking a baseball card is:
Probability = Number of baseball cards picked / Total number of cards picked = 7/20