Calculating Probability of Spinner Sequence
The image shows a question concerning probability from a spinner. The spinner has numbers 5, 6, and 7, and the task is to calculate the probability of first landing on a 6 and then on a 5 after spinning the spinner twice.
To solve this, first calculate the individual probabilities of each separate event and then multiply them together since these are independent events.
The probability of landing on a 6 on the first spin is:
1 out of 3, or 1/3, because there are three possible outcomes and only one of them is a 6.
The probability of landing on a 5 on the second spin is:
Also 1 out of 3, or 1/3 for the same reason.
Now, to find the probability of both events occurring in sequence (landing on a 6 and then on a 5), multiply these two probabilities together:
Probability of landing on a 6 and then a 5 = (1/3) * (1/3) = 1/9
Therefore, the probability of spinning a 6 first and then a 5 is 1/9.
