Kanika has to choose a t-shirt for her outfit from a collection of 6 yellow t-shirts, 2 black t-shirts and 4 blue t-shirts. If a t-shirt is chosen randomly, then what is the chance that a black or a blue t-shirt is chosen by Kanika for her outfit? Enter the answer correct to one decimal place.
Question
Kanika has to choose a t-shirt for her outfit from a collection of 6 yellow t-shirts, 2 black t-shirts and 4 blue t-shirts. If a t-shirt is chosen randomly, then what is the chance that a black or a blue t-shirt is chosen by Kanika for her outfit? Enter the answer correct to one decimal place.
Solution
First, let's find out the total number of t-shirts. Kanika has 6 yellow t-shirts, 2 black t-shirts, and 4 blue t-shirts. So, the total number of t-shirts is 6 + 2 + 4 = 12.
The question asks for the probability that a black or a blue t-shirt is chosen. There are 2 black t-shirts and 4 blue t-shirts, so there are 2 + 4 = 6 t-shirts that are either black or blue.
The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes. In this case, the favorable outcomes are choosing a black or blue t-shirt, and the total outcomes are the total number of t-shirts.
So, the probability P(Black or Blue) = Number of black or blue t-shirts / Total number of t-shirts = 6 / 12 = 0.5
Therefore, the chance that a black or a blue t-shirt is chosen by Kanika for her outfit is 0.5 or 50%, when expressed as a percentage.
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