Question

you randomly choose one of the cards shown. you replace the card and choose another card. find the probability of the event. round to the nearest tenth of a percent if necessary.
you choose a three and a jack.
the probability is about 4.0 %.

Explanation:

Step1: Count total & target cards

Total unique cards: 6. Number of 3s: 1. Number of Jacks: 1.

Step2: Calculate single draw probabilities

Probability of drawing a 3: $\frac{1}{6}$. Probability of drawing a Jack: $\frac{1}{6}$.

Step3: Calculate sequential probability (with replacement)

Since draws are independent, multiply the probabilities: $\frac{1}{6} \times \frac{1}{6} = \frac{1}{36}$

Step4: Convert to percentage

$\frac{1}{36} \times 100 \approx 2.777...\%$

Step5: Round to nearest tenth

Round $2.777...\%$ to $2.8\%$

Answer:

The probability is about 2.8%.