a bag contains 3 oranges and 2 mangoes 2 fruits are drawn at random with replacement illustrate
To illustrate drawing 2 fruits at random with replacement from a bag containing 3 oranges and 2 mangoes, we can follow these steps:
Step 1: Write down all the possible fruits in the bag: O1, O2, O3 (representing the oranges), M1, M2 (representing the mangoes).
Step 2: Since we are drawing with replacement, after each draw, we put the fruit back into the bag. So, we still have all the fruits in the bag for the next draw.
Step 3: Randomly draw the first fruit. Let's say the first fruit drawn is O2 (second orange).
Step 4: Record the fruit that was drawn. In this case, we write down O2.
Step 5: Put the fruit back into the bag. Now, the bag has 3 oranges (O1, O2, O3) and 2 mangoes (M1, M2).
Step 6: Randomly draw the second fruit. Let's say the second fruit drawn is M2 (second mango).
Step 7: Record the fruit that was drawn. In this case, we write down M2.
Step 8: Put the fruit back into the bag. Now, the bag has 3 oranges (O1, O2, O3) and 2 mangoes (M1, M2).
Step 9: The two fruits drawn with replacement are O2 and M2.
Please note that since we are drawing with replacement, the outcomes of each draw are independent of each other. This means that the probabilities of drawing each fruit remain the same for each draw.