You spin the spinner twice.
Numbers on the spinner are 3, 4, 5 and 6
What is the probability of landing on a 6 and then landing on a number less than 5?
The probability of landing on a 6 on the first spin is 1/4 (since there are four equally likely outcomes).
Assuming the first spin landed on a 6, there are now only three possible outcomes for the second spin: 3, 4, or 5. The probability of landing on one of these numbers is 3/4 (since there are now three equally likely outcomes).
Therefore, the probability of landing on a 6 on the first spin and landing on a number less than 5 on the second spin is:
1/4 * 3/4 = 3/16 or 0.1875 (rounded to four decimal places)
As a percentage
The probability of landing on a 6 on the first spin and landing on a number less than 5 on the second spin is 18.75% (rounded to two decimal places).
To find the probability of landing on a 6 and then landing on a number less than 5, we need to calculate the individual probabilities of each event and then multiply them together.
First, let's determine the probability of landing on a 6. The spinner has 4 numbers (3, 4, 5, and 6), so the probability of landing on a 6 is 1 out of 4 or 1/4.
Next, we need to calculate the probability of landing on a number less than 5 after having landed on a 6. Since 6 is greater than 5, the probability of landing on a number less than 5 would be 0.
Now, to find the probability of both events occurring consecutively, we multiply the individual probabilities together:
Probability of landing on a 6 and then landing on a number less than 5 = (Probability of landing on a 6) * (Probability of landing on a number less than 5)
= (1/4) * (0)
= 0
Therefore, the probability of landing on a 6 and then landing on a number less than 5 is 0.