Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

calculate the probability of drawing a: green card, then drawing a blue…

Question

calculate the probability of drawing a: green card, then drawing a blue card, with no replacement. answer as a fraction in lowest terms. enter the denominator. 1 ?

Explanation:

Step1: Count total and green cards

There are 10 cards, 5 green. Prob. of green first is $\frac{5}{10}=\frac{1}{2}$.

Step2: Count remaining and blue cards

After drawing green, 9 cards left, 3 blue. Prob. of blue next is $\frac{3}{9}=\frac{1}{3}$.

Step3: Calculate combined probability

Multiply probabilities: $\frac{1}{2}\times\frac{1}{3}=\frac{1}{6}$.

Answer:

6