find the probability that a writing utensil is red, given it is a pencil.\n| | red | green | blue | total…

find the probability that a writing utensil is red, given it is a pencil.\n| | red | green | blue | total |\n|--|--|--|--|--|\n| marker | 12 | 5 | 14 | 31 |\n| pencil | 9 | 6 | 7 | 22 |\n| crayon | 7 | 8 | 6 | 21 |\n| total | 28 | 19 | 27 | 74 |\np(red | pencil) = \\frac{9}{22}\nenter as a decimal rounded to the nearest hundredth.\np(red | pencil) = ?

find the probability that a writing utensil is red, given it is a pencil.\n| | red | green | blue | total |\n|--|--|--|--|--|\n| marker | 12 | 5 | 14 | 31 |\n| pencil | 9 | 6 | 7 | 22 |\n| crayon | 7 | 8 | 6 | 21 |\n| total | 28 | 19 | 27 | 74 |\np(red | pencil) = \\frac{9}{22}\nenter as a decimal rounded to the nearest hundredth.\np(red | pencil) = ?

Answer

Explanation:

Step1: Identify the fraction

We are given the probability formula $P(\text{red}|\text{pencil})=\frac{9}{22}$. We need to convert this fraction to a decimal.

Step2: Perform division

$9\div22 = 0.40909\cdots$

Step3: Round to hundredths

Rounding $0.40909\cdots$ to the nearest hundredth gives $0.41$.

Answer:

$0.41$