Question

instructions: solve each problem to put the puzzle together. type your an
1
belle will randomly select two
cards without replacement.

what is the probability that belle
will choose two hearts?

Explanation:

Step1: Count total and heart cards

Total cards: $10$, Heart cards: $4$

Step2: Probability first card is heart

$\frac{4}{10} = \frac{2}{5}$

Step3: Probability second card is heart

(No replacement: 3 hearts left, 9 total left)
$\frac{3}{9} = \frac{1}{3}$

Step4: Multiply probabilities for both events

$\frac{2}{5} \times \frac{1}{3}$

Answer:

$\frac{2}{15}$