Originally posted by Ahm97sic:Question 1
Two dice are thrown. One is biased so that the probabilities of throwing the six numbers are all different. The other die is unbiased. Calculate the probability that the numbers shown on the two dice are the same.
Question 2
A bag contains 8 black balls and 1 white ball. A second contains 7 black balls. Four balls are taken at random from the first bag and palced in the second bag. Find the probability that the white ball is now
(a)
first, dice or die?
a) total probability = both dice 1 + both dice 2 + both dice 3...
=a x 1/6 + b x 1/6 +.....
= a/6 + b/6 + c/6 ....
= (a+b+c+...)/6
= 1/6
where a, b, c is the probability for each die.
Hi skythewood,
When we use a die, it means one. When we use dice, it means two or more. Dice" is the plural of "die". Two dice may be thrown; "a dice is" is ungrammatical.
Sorry for the double posting. I have accidentally pressed the tab key while typing out the questions and this sends my unfinished posting to the forum.
Thank you for your kind attention.
Regards,
ahm97sic