Question

in mrs.darcys jewelry there are 5 silver necklaces,4 gold necklaces,6 pearl earrings,4 gold earrings,2 silver earrings and 1 gold bracelet. if an item is taken at random from the box, what is the probability a necklace will be drawn

Answer 1

The probability of drawing a necklace at random from Mrs. Darcy's jewelry is 5/11.

Step-by-step explanation:

To find the probability of drawing a necklace at random from Mrs. Darcy's jewelry, we need to determine the total number of necklaces in the box and divide it by the total number of items in the box.

The total number of necklaces is obtained by adding the number of silver necklaces, gold necklaces, and the gold bracelet, which all fall under the category of necklaces.

The total number of items in the box is found by adding up the quantities of all the different types of jewelry mentioned in the question.

Therefore, the probability of drawing a necklace at random is the number of necklaces divided by the total number of items in the box.

To calculate this probability, we substitute the given values into the formula:

P(necklace) = (5 + 4 + 1) / (5 + 4 + 6 + 4 + 2 + 1).

Simplifying this equation, we find that the probability of drawing a necklace is 10/22 or 5/11.