Question

1. timothy has 4 black bowties, 2 grey bowties, and 2 navy blue bowties in his drawer. he will randomly choose 1 bowtie from the drawer. complete the statement to determine the probability of each event. choose the correct answer from each drop-down menu. the probability of choosing a black bowtie is: ↓ the probability of choosing a grey bowtie is: ↓ the probability of choosing either a black bowtie or a navy blue bowtie is: --choose the correct answer--

Explanation:

Step1: Calculate total bowties

$4 + 2 + 2 = 8$

Step2: Probability of black bowtie

$\frac{\text{Number of black bowties}}{\text{Total bowties}} = \frac{4}{8} = \frac{1}{2}$

Step3: Probability of grey bowtie

$\frac{\text{Number of grey bowties}}{\text{Total bowties}} = \frac{2}{8} = \frac{1}{4}$

Step4: Probability of black or navy blue

$\frac{\text{Black + Navy blue bowties}}{\text{Total bowties}} = \frac{4+2}{8} = \frac{6}{8} = \frac{3}{4}$

Answer:

The probability of choosing a black bowtie is $\frac{1}{2}$
The probability of choosing a grey bowtie is $\frac{1}{4}$
The probability of choosing either a black bowtie or a navy blue bowtie is $\frac{3}{4}$