An experiment consists of drawing different colored T-shirts from a drawer that contains an unknown number of T-shirts of different colors. In 55 trials of the experiment, a black T-shirt was drawn 10 times. If the experiment were repeated 110 times, how many times would you predict that a black T-shirt would be drawn?

Answer:The number of black T-shirts in 110 experiments is 20.Step-by-step explanation:It is given that in 55 trials of the experiment, a black T-shirt was drawn 10 times.Formula of probability:[tex]P=\frac{\text{Favorable outcomes}}{\text{Total number of outcomes}}[/tex]Since 55 trials of the experiment, a black T-shirt was drawn 10 times, therefore the probability of getting black T-shirts in 1 experiment is[tex]P=\frac{10}{55}[/tex][tex]P=\frac{2}{11}[/tex]The number of black T-shirts that would be drawn in 110 times is[tex]T=\frac{2}{11}\times 110=20[/tex]Therefore the number of black T-shirts in 110 experiments is 20.