Question

4.2 theoretical probability. calculating theoretical probabilities (deck of cards). if you randomly select a card from a well - shuffled standard deck of 52 cards, what is the probability that the card you select is a club or 8? question help: video 1 video 2 message instructor

Explanation:

Step1: Count number of clubs

There are 13 clubs in a deck.

Step2: Count number of 8s

There are 4 cards with number 8 in a deck.

Step3: Count the overlap

The 8 of clubs is counted twice. There is 1 card which is both a club and an 8.

Step4: Use the formula for probability of A or B

$P(A\cup B)=P(A)+P(B)-P(A\cap B)$. Here, $P(A)$ (probability of club) $=\frac{13}{52}$, $P(B)$ (probability of 8) $=\frac{4}{52}$, and $P(A\cap B)$ (probability of 8 of clubs) $=\frac{1}{52}$.
So $P(A\cup B)=\frac{13 + 4- 1}{52}=\frac{16}{52}=\frac{4}{13}$.

Answer:

$\frac{4}{13}$