Question

Let's say that using the six letters of the word BRAISE, you formed all possible four-letter words. You wrote each of these words on a separate piece of paper and put all those papers in a bag. Now, you pick a paper randomly from the bag. What is the probability that the word on that paper would start with the letter B?

Answer 1

Answer:

50%

Step-by-step explanation:

As here we found 2 words from BRAISE and the formula for probability is no. of observation by the total no of observation. So here,

2/4*100 = 50 %

Answer 2

Given : using the six letters of the word BRAISE,  

you formed all possible four-letter words.

You wrote each of these words on a separate piece of paper and put all those papers in a bag.  

pick a paper randomly from the bag.

To Find :  the probability that the word on that paper would start with the letter B

Solution:

4 letters out of 6 can be selected in  ⁶C₄  = 15 ways

4 Letters can be arranged in 4! = 24 ways

Hence total possible words = 15 * 24  = 360

Starting with B

Then remaining 3 letters can be selected in ⁵C₃  =10 ways

3 letters can be arranged in 3!  = 6 ways

Hence Starting with B  = 10 * 6 = 60

probability that the word on that paper would start with the letter B = 60/360

= 1/6

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