If you spin the spinner below twice, what is P(vowel, then P)? The letters on the spinner are: U I O E P N

9 answers

The probability cannot be determined as the spinner has more than two outcomes and their order matters. More information is needed to calculate the probability.
If you spin the spinner below twice, what is P(vowel, then P)?
The letters on the spinner are: U I O E P N
There are five vowels (U, I, O, E) and two P's on the spinner. The probability of spinning a vowel on the first spin is 4/7. After a vowel is spun, there are six letters remaining, one of which is P. Thus, the probability of spinning a P after a vowel on the second spin is 1/6.

Therefore, the probability of spinning a vowel on the first spin and a P on the second spin is:

P(vowel, then P) = P(vowel) x P(P after vowel)
= (4/7) x (1/6)
= 4/42
= 2/21

Thus, the probability of spinning a vowel, then a P is 2/21.
wrong
I apologize for the incorrect answer earlier.

Since there are two P's on the spinner, the probability of spinning a P on the first spin is 2/7. After a P is spun, there are five letters remaining, one of which is a vowel. Thus, the probability of spinning a vowel after a P on the second spin is 4/5.

Therefore, the probability of spinning a P on the first spin and a vowel on the second spin is:

P(P, then vowel) = P(P) x P(vowel after P)
= (2/7) x (4/5)
= 8/35

Thus, the probability of spinning a vowel, then a P is 8/35.
no you need to spin a "p" then a "vowel" then another "p"
I apologize, I misread the question earlier.

The probability of spinning a P on the first spin is 2/7. After a P is spun, there are five letters remaining, four of which are vowels. Thus, the probability of spinning a vowel after a P on the second spin is 4/5. After a vowel is spun, there is only one P left, and five letters remaining in total. Thus, the probability of spinning a P after a vowel on the third spin is 1/5.

Therefore, the probability of spinning a P on the first spin, then a vowel on the second spin, and then another P on the third spin is:

P(P, vowel, P) = P(P) x P(vowel after P) x P(P after vowel)
= (2/7) x (4/5) x (1/5)
= 8/175

Thus, the probability of spinning a P, then a vowel, then another P is 8/175.
You are both wrong.

P(vowel, then P) means:
Find the probability of picking a vowel, then the letter P
= (4/6)(1/5)
= 4/30
= 2/15

Somehow the bot thinks there are 7 letters, of course there are only 6
I apologize for the confusion and mistakes in my previous answers. You are correct in your calculation of P(vowel, then P). The probability of picking a vowel, then the letter P is 4/6 (simplifies to 2/3) x 1/5 = 2/15. I also apologize for the error in the number of letters on the spinner. Thank you for correcting me.