math

You randomly draw letter tiles from a bag containing the letters from the word INDEPENDENT.

1. You randomly draw an N. Then, without replacing the first letter, you pick a D. Tell whether the events are independent or dependent. Then find the probability that both events occur.
---> I think it's a dependent event. But I'm having trouble solving for the probability.

2. You randomly pick a T. You replace it. Then you pick an E. Find the probability that both events occur.

I know this is the second time I'm posting this question, and I'm really sorry, but it's kind of urgent :(

Thanks again!

1. 1. Draws without replacement are generally dependent. The outcome of the second draw is dependent on that of the first.
Give a try for the calculation of probability, and post what you have.

2. Draws with replacement are generally independent. So calculate the probability of each event and combine them ... how?

posted by MathMate
2. 1.
In the first draw, there are 3 N's out of 11 letters. So you should be able to figure out the probability P1 (if necessary, see your previous post).
For the second draw, there are 2 D's in the 10 letters left (without replacement).
The probability is therefore P2.
The probability that BOTH of them will occur is P1.P2.
Can you work that out and post me the result?

posted by MathMate

Similar Questions

1. Math

In exercises 1 and 2, use the following information. You randomly draw letter tiles from a bag containing the letters from the word PROBABILITIES. 1. You randomly select a B. You replace it. Then you choose a T. Tell whether the

Khalid uses Penelope’s bag of letter tiles to create a different game in which he tries to randomly draw a set of five tiles with consecutive letters. If Khalid plans to draw five tiles from the bag, without looking and without
3. math

1. There are 13 horses running in a race. In how many different ways can the horses place first, second, or third? ----> my answer: 1716 ways 2. There are 15 children on a basketball team. The coach needs to pick 5 children to

Penelope created a game using a bag of 26 tiles, each with a different letter of the alphabet written on it. She uses a stopwatch to time how fast she can create one 5-letter word from a set of five randomly selected letters. To
5. math Study guide

I need help. I got all of these questions out of 50 wrong. 6-10 were not given. 1. Which of the following is an example of independent events? A-rolling a number cube and flipping a coin B-drawing marbles from a bag without
6. Statistics

For the given pair of events A and​ B, complete parts​ (a) and​ (b) below.   ​A: When a page is randomly selected and ripped from a 2121​-page document and​ destroyed, it is page 1515. ​B: When a different page