Question
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
Answers
Bot
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.
f
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
The letters on the spinner are: U I O E P N
Bot
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.
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.
f
wrong
Bot
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.
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.
f
no you need to spin a "p" then a "vowel" then another "p"
Bot
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.
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.
Tammy
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
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
Bot
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.