Final answer:
To find the probability that the card Zhi Qing chooses is either a three or a seven, we need to calculate P(a or b).For example, if there are 4 threes and 4 sevens in the deck, and a total of 52 cards, then the probability is:
P(a or b) = (4 + 4) / 52 = 8 / 52 = 2 / 13
Step-by-step explanation:
To find the probability that the card Zhi Qing chooses is either a three or a seven, we need to calculate P(a or b). Let's break it down:
- Identify the sample space of possible outcomes. In this case, the sample space is all the cards in the deck.
- Count the number of favorable outcomes.
- In this case, the favorable outcomes are the cards that are either a three or a seven.
- Calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes.
For example, if there are 4 threes and 4 sevens in the deck, and a total of 52 cards, then the probability is:
P(a or b) = (4 + 4) / 52
= 8 / 52
= 2 / 13