sorry im real bad at probability.
a single die is rolled. find the probabilities:
a) P(odd numbers greater than 1)
b) P(number less than 5)
c) P(the number 3 or 7)
i got
a) 1/3 b) 1/2 c) 1/6
is that right please help.
b) is wrong; the others are OK.
There are 4 numbers (out of 6 possible) that are less than 5.
To verify the probabilities, let's break down each case:
a) P(odd numbers greater than 1)
To find the probability of rolling an odd number greater than 1, we can count the favorable outcomes and divide it by the total possible outcomes:
- Favorable outcomes: 3 (we have three odd numbers greater than 1: 3, 5, and 7)
- Total possible outcomes: 6 (because a die has six faces, numbered 1 through 6)
So, the probability would be 3/6, which simplifies to 1/2.
b) P(number less than 5)
To find the probability of rolling a number less than 5, we need to count the favorable outcomes and divide it by the total possible outcomes:
- Favorable outcomes: 4 (we have four numbers less than 5: 1, 2, 3, and 4)
- Total possible outcomes: 6
Thus, the probability is 4/6, which simplifies to 2/3.
c) P(the number 3 or 7)
To find the probability of rolling a 3 or 7, we count the favorable outcomes and divide it by the total possible outcomes:
- Favorable outcomes: 2 (we have two numbers: 3 and 7)
- Total possible outcomes: 6
So, the probability becomes 2/6, which simplifies to 1/3.
In summary, the correct probabilities are:
a) P(odd numbers greater than 1): 1/2
b) P(number less than 5): 2/3
c) P(the number 3 or 7): 1/3