An online store sells a variety of photo albums. The albums range in photo capacity and orientation.\begin{tabular}{|l|c|c|}\hline & Horizontally & Vertically \\\hline Under 50 photos & 5 & 4 \\\hline 50 photos or more & 1 & 2 \\\hline\end{tabular}What is the probability that a randomly selected photo album does not hold 50 photos or more or is not oriented vertically?Simplify any fractions.□
Q. An online store sells a variety of photo albums. The albums range in photo capacity and orientation.\begin{tabular}{|l|c|c|}\hline & Horizontally & Vertically \\\hline Under 50 photos & 5 & 4 \\\hline 50 photos or more & 1 & 2 \\\hline\end{tabular}What is the probability that a randomly selected photo album does not hold 50 photos or more or is not oriented vertically?Simplify any fractions.□
Find Total Number: First, let's find the total number of photo albums.Total albums = 5 (horizontally, under 50) + 4 (vertically, under 50) + 1 (horizontally, 50 or more) + 2 (vertically, 50 or more) = 12.
Find Albums Under 50: Now, let's find the number of albums that do not hold 50 photos or more.Albums under 50 photos = 5 (horizontally) + 4 (vertically) = 9.
Find Albums Not Vertically: Next, let's find the number of albums that are not oriented vertically.Albums not vertically oriented = 5 (horizontally, under 50) + 1 (horizontally, 50 or more) = 6.
Find Probability: We need to find the probability that an album is either not holding 50 photos or more or not oriented vertically. This includes albums that are either horizontally oriented or have less than 50 photos.Probability = (Albums under 50 photos + Albums not vertically oriented) / Total albums.
More problems from Probability of independent and dependent events