10 cards are numbered from 1 to 10 and placed in a box. One card is selected at random and is not replaced. Another card is then randomly selected. What is the probability of selecting two prime numbers?

Respuesta :

Answer:

[tex]\frac{2}{9}[/tex]

Step-by-step explanation:

The prime numbers between 1 and 10 are;

1, 2, 3, 5, 7

The probability of drawing the first card = [tex]\frac{5}{10}[/tex]

Since there is no replacement, the probability of drawing the second card = [tex]\frac{4}{9}[/tex]

The probability of selecting two prime numbers between 1 and 10 without replacement = [tex]\frac{5}{10}[/tex] × [tex]\frac{4}{9}[/tex] = [tex]\frac{2}{9}[/tex]