Jim rolls a dice twice. The dice is biased so the probability of getting a six is one quarter. WHat is the probability that he gets two sixes
1/4 x 1/4 = ___
thought so thanks
does that mean definetly getting one six is a one quarter
If the probability of getting a six is 1/4, that means that there is something wrong with the die. It is "loaded", as they say, or biased.
This article explains how they do it:
http://en.wikipedia.org/wiki/Dice#Loaded_dice
To find the probability of Jim getting two sixes, we can use the concept of independent events and the multiplication rule of probability.
Since the dice is biased, the probability of getting a six is one-fourth. Let's assign this probability as P(S) = 1/4.
Now, since rolling a dice twice are independent events, it means that the outcome of the first roll does not affect the outcome of the second roll.
To find the probability of two independent events occurring, we multiply their individual probabilities together.
So, the probability of Jim getting a six on the first roll is P(S) = 1/4.
Similarly, the probability of Jim getting a six on the second roll is also P(S) = 1/4.
To find the probability of both events happening (getting two sixes), we multiply the individual probabilities:
P(2 sixes) = P(S) * P(S) = (1/4) * (1/4) = 1/16
Therefore, the probability that Jim gets two sixes is 1/16.