Question

1. a jar contains 4 cherry cough drops and 10 honey cough drops. you choose one cough drop without looking. the cough drop is cherry.
2. you pick one card at random from a standard deck of 52 playing cards. you pick a black card.
3. there are 12 pieces of fruit in a bowl. five are lemons and the rest are limes. you choose a piece of fruit without looking. the piece of fruit is a lime.

Explanation:

Problem 10

Step1: Find total number of cough drops

Total cough drops = cherry + honey = $4 + 10 = 14$

Step2: Calculate probability of cherry

Probability = $\frac{\text{Number of cherry cough drops}}{\text{Total number of cough drops}} = \frac{4}{14} = \frac{2}{7}$

Step1: Identify black cards in deck

A standard deck has 26 black cards (13 spades + 13 clubs)

Step2: Calculate probability of black card

Probability = $\frac{\text{Number of black cards}}{\text{Total number of cards}} = \frac{26}{52} = \frac{1}{2}$

Step1: Find number of limes

Number of limes = total fruit - lemons = $12 - 5 = 7$

Step2: Calculate probability of lime

Probability = $\frac{\text{Number of limes}}{\text{Total number of fruits}} = \frac{7}{12}$

Answer:

$\frac{2}{7}$

Problem 11