Knowee
Questions
Features
Study Tools

Select the 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?Options1/51/71/11½

Question

Select the 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?Options1/51/71/11½

...expand
🧐 Not the exact question you are looking for?Go ask a question

Solution

To solve this problem, we need to calculate the probability of not picking a black trouser and not picking a black shirt.

  1. The probability of not picking a black trouser: Timothy has 3 trousers, only one of them is black. So, the probability of not picking a black trouser is 2 (non-black trousers) out of 3 (total trousers) = 2/3.

  2. The probability of not picking a black shirt: Timothy has 4 shirts, only one of them is black. So, the probability of not picking a black shirt is 3 (non-black shirts) out of 4 (total shirts) = 3/4.

  3. The probability of both events happening (not picking a black trouser and not picking a black shirt) 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.

This problem has been solved

Similar Questions

There are 2 white, 1 grey, 2 blue and 1 black t-shirtt shirt in a drawer.Sam picks up one t-shirtt shirt without looking.What is the chance of him picking a white t-shirtt shirt?Question response areaSelect one option

Pramod goes to a shop to buy some clothes. Shopkeeper shows him 7 shirts, 5 pants and 10 t-shirts. If he selects three clothes at random, then find the probability that, at least one of the clothes is shirt. (Enter the answer correct to two decimal places)

Pramod goes to a shop to buy some clothes. Shopkeeper shows him 5 shirts, 6 pants and 13 t-shirts. If he selects three clothes at random, then find the probability that, randomly chosen clothes does not contain pant.

A drawer is filled with 3 black shirts, 8 white shirts, and 4 gray shirts. One shirt is chosen at random from the drawer. Find the probability that it is NOT a white shirt. Write your answer as a fraction.2 points6/157/158/159/15

A box has 5 black and 3 green shirts. One shirt is picked randomly and put in another box. The second box has 3 black and 5 green shirts. Now a shirt is picked from second box. What is the probability of it being a black shirt?4/929/728/723/16

1/2

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.