Answer :
In the first scenario with the letters PROBABILITY in a bag, to find the probability of drawing two B's, we need to calculate the total number of ways to draw two letters out of all the letters available and then determine the number of ways to draw two B's.
For the second scenario with the theatre closet items, the probability of a student selecting a prop, not replacing it, and another student selecting a costume involves finding the probability of the sequence of events happening one after the other without replacement. This means finding the probability of the first event (selecting a prop), then the probability of the second event (selecting a costume).
In the last scenario with the bag of jellybeans, to find the probability of Hannah grabbing an orange candy, eating it, and then grabbing a pink candy, you need to calculate the probability of each event happening in succession.
For the scenario with two cards selected without replacement from a standard deck of cards, the probability of the first card being a spade and the second card being a club involves determining the probability of each event separately and then multiplying them together to find the overall probability.
Remember to consider the total number of possible outcomes and the number of favorable outcomes for each event to calculate the probabilities accurately.