A spinner with 10 evenly sized sections and numbered 1 to 10 is spun. What is the probability that the number spun is 8 given that the number is even?
5 evens, so P(8|even) = 1/5
sure bud
To find the probability of spinning an 8 given that the number must be even, we need to determine the number of favorable outcomes (spinning an 8) and the number of possible outcomes (spinning an even number).
There are 5 even numbers (2, 4, 6, 8, and 10) out of the total 10 numbers on the spinner.
Out of these 5 even numbers, only 1 is 8.
So, the number of favorable outcomes is 1 (spinning an 8) and the number of possible outcomes is 5 (spinning an even number).
Therefore, the probability of spinning an 8 given that the number is even is 1/5 or 0.2 (20%).
To find the probability of spinning an 8 given that the number is even, we first need to determine the number of favorable outcomes and the total number of possible outcomes.
There are two favorable outcomes: 2 and 8. These are the only even numbers on the spinner.
To find the total number of possible outcomes, we need to consider that the spinner has 10 sections in total, numbered from 1 to 10.
Since there are 5 even numbers (2, 4, 6, 8, and 10) and 10 total numbers, the probability of spinning an even number is 5/10 or 1/2.
Now, to find the probability of spinning an 8 given that the number is even, we divide the number of favorable outcomes (2) by the total number of possible outcomes (5).
Therefore, the probability of spinning an 8 given that the number is even is 2/5 or 0.4, which can also be expressed as 40%.