Final answer:
To find the probability of selecting an orange and then an apple, you need to calculate the total number of possible outcomes and the number of favorable outcomes. Then, divide the number of favorable outcomes by the total number of possible outcomes to find the probability.
Step-by-step explanation:
To find the probability that the first piece of fruit Toby selects will be an orange and the second piece of fruit will be an apple, we first need to calculate the total number of possible outcomes. Since Toby selects two pieces of fruit without putting them back, the total number of possible outcomes is the product of the number of oranges and the number of apples in the bag, which is 6 * 5 = 30.
Next, we calculate the number of favorable outcomes, which is the number of ways Toby can select an orange first and an apple second. Since there are 6 oranges and 5 apples in the bag, the number of favorable outcomes is 6 * 5 = 30.
Finally, we divide the number of favorable outcomes by the total number of possible outcomes to find the probability:
Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes
Probability = 30 / 30
Probability = 1
Therefore, the probability that Toby will select an orange first and an apple second is 1, or 100%.