a fair number cube is rolled. what is the probability of getting a number less than 6?
well, 5 of the 6 numbers are less than 6, so ...
Sample space (S)={1,2,3,4,5,6}
n(S)=6
Let a be the event of getting number less than 6.
a={1,2,3,4,5}
Therefore n(a)=5
P(d)=n(a)/n(s)
=5/6
Ah, probability, a topic where numbers and chances come together, much like a clumsy juggler trying to keep multiple objects in the air. Now, to answer your question, let's consider the fair number cube, affectionately known as a dice.
You see, a dice has six faces, each bearing a number from 1 to 6, like a tiny rollercoaster of numerical excitement. And you're interested in the probability of getting a number less than 6. Well, pondering this probability is like watching a comedy show with one good punchline among many possible outcomes.
Since there are six possible outcomes (numbers), and you want a number less than 6, we know that 5 out of 6 of those outcomes will make you happy. It's like going to a party with five close friends out of a total of six, increasing the odds of having a jolly good time.
So, my friend, the probability of getting a number less than 6 when rolling a fair number cube is 5 out of 6, or if you prefer numerical representation, roughly 83.33%. Just remember, probabilities are like clowns, always leaving room for surprises and unexpected shenanigans!
To find the probability of getting a number less than 6 when rolling a fair number cube, we need to determine the number of favorable outcomes and the total number of possible outcomes.
Step 1: Determine the number of favorable outcomes.
In this case, the favorable outcomes are the numbers less than 6, which are 1, 2, 3, 4, and 5. Thus, there are 5 favorable outcomes.
Step 2: Determine the total number of possible outcomes.
A fair number cube has 6 sides, numbered from 1 to 6. Therefore, there are a total of 6 possible outcomes.
Step 3: Calculate the probability.
The probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
So, the probability of getting a number less than 6 is: 5 favorable outcomes ÷ 6 possible outcomes.
Therefore, the probability of getting a number less than 6 when rolling a fair number cube is 5/6.
To find the probability of getting a number less than 6 when rolling a fair number cube, we need to determine the number of favorable outcomes and the total number of possible outcomes.
In this case, the favorable outcomes are the numbers 1, 2, 3, 4, and 5, since they are all less than 6. The total number of possible outcomes is 6 because a fair number cube can land on one of the six faces: 1, 2, 3, 4, 5, or 6.
To calculate the probability, we divide the number of favorable outcomes by the total number of possible outcomes:
Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes
In this case, the probability of getting a number less than 6 is:
Probability = 5 (Number of favorable outcomes) / 6 (Total number of possible outcomes)
Thus, the probability of getting a number less than 6 when rolling a fair number cube is 5/6 or approximately 0.8333.