Zozina

Hi everyone. I am struggling a bit with this one example question I am doing. Problem: There is a group of 12 people, 6 men and 6 women. A committee is to be formed consisting of 5 members from this group. Find the probability that Anne (one of the female...

Hi Scott. Hmm, I am still unsure what you mean by that. I guess the probability of choosing Anne, in particular, is 1/12, and then the probability of choosing Billy after that becomes 1/11. So maybe 1/12 * 1/11 * (10C3)/(12C5) ? I am quite confused.

Oh I simply divide those two results I mentioned, but I am not sure why that works. Because can't, Anne and Billy, be placed in the committee in different ways? 10C3 / 12C5 makes it seem like the ways in which Billy and Anne can be arranged in the committ...

Ok, I know my mistake, I didn't read the question carefully, but was on the right track

1) The random circle can only intersect the circle of radius 5 if the centre of the random circle is at most 1 unit away from the circumference of the circle of radius 5. So basically we can draw two boundaries above and below the circle of radius 5. Thes...

@Anonymous, E[((R+1)^1 - (R-1)^2)/100] = E[4R/100] =1/25 * E[R] = 1/25 * 3.5 = 0.14.

Sorry, typo it should be (R+1)^2 there, not (R+1)^1

@Help Yes that is the right answer.

How many letters are there in the alphabet? 26 How many vowels are there in the alphabet? 5 Therefore, the probability of picking one vowel is 5/26. The probability of picking N vowels is (5/26)^N or 5/26 * 5/26 * 5/26.... (N times). So for your question,...

Yes. By definition, the mode is the number that occurs most frequently in the set. Therefore it has to be in the set.