Question

pendent and dependent events.

1. the letters of the alphabet are written on cards and placed in a brown paper bag. what is the probability of drawing a consonant, replacing it, and then drawing a z?

$\frac{21}{625}$

1. daniel drew a toy from the treasure chest

Explanation:

Step1: Find total letters, consonant count

Total English alphabet letters: $26$. Vowels (A,E,I,O,U): $5$. Consonants: $26-5=21$. Probability of consonant: $\frac{21}{26}$

Step2: Find probability of drawing Z

Since the card is replaced, total letters remain $26$. Probability of drawing Z: $\frac{1}{26}$

Step3: Calculate combined probability

Multiply the two independent probabilities: $\frac{21}{26} \times \frac{1}{26}$

Step4: Compute final product

$\frac{21 \times 1}{26 \times 26} = \frac{21}{676}$

Answer:

$\frac{21}{676}$