he correct answerIn his wardrobe, Timothy has 3 trousers. One of them is black the second blue, and the third brown, in his wardrobe, he also has 4 shirts. One of them is black and the other 3 are white. He opens his wardrobe in the dark and picks out one shirt trouser pair without examining the colour what is the likelihood that neither the shirt nor the trouser is black?Options1/111/51/7½
Question
he correct answerIn his wardrobe, Timothy has 3 trousers. One of them is black the second blue, and the third brown, in his wardrobe, he also has 4 shirts. One of them is black and the other 3 are white. He opens his wardrobe in the dark and picks out one shirt trouser pair without examining the colour what is the likelihood that neither the shirt nor the trouser is black?Options1/111/51/7½
Solution
To solve this problem, we need to calculate the probability of picking a non-black trouser and a non-black shirt.
First, let's calculate the probability of picking a non-black trouser. Timothy has 3 trousers, only one of which is black. So, the probability of picking a non-black trouser is 2 out of 3, or 2/3.
Next, let's calculate the probability of picking a non-black shirt. Timothy has 4 shirts, only one of which is black. So, the probability of picking a non-black shirt is 3 out of 4, or 3/4.
The total probability of both events happening is the product of their individual probabilities. So, the probability that neither the shirt nor the trouser is black is (2/3) * (3/4) = 1/2.
So, the correct answer is 1/2.
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