Question

For a charity event, raffle tickets are printed such that they have a vowel (excluding y) as the first character and a prime number less than 10 as the second digit. (Note that 1 is not a prime number.) The probability that the winning ticket has the vowel contained in the word event and the digit is the number of letters in the word event is

Answer 1

Answer:

P=5%

Step-by-step explanation:

In order to solve this problem, we can use the following formula for the probability of two independent events:

P(A and B)=P(A)*P(B)

so we need to find the probability for each event to happen.

They are asking for the probability that the winning  ticket will have the letter e on it. There are 5 vowels in the alphabet (a, e, i, o and u). Therefore the probability for the first letter to be e is:

$P(A)=\frac{desired}{total}$

$P(A)=\rac{1}{5}$

We also know there are 4 prime numbers between 0 and 10 (2, 3, 5, 7) so the probability for the number to be a 5 is:

$P(B)=\frac{1}{4}$

so the probability of getting a ticket that starts with an e and ends with a 5 is:

P(A and B)=P(A)*P(B)

$P(A and B)=(\frac{1}{5})(\frac{1}{4})$

$P(A and B)=\frac{1}{20}$

so the probability is 5%

Answer 2

The probability that the winning ticket has the vowel contained in the word event and the digit is the number of letters in the word event is P=5%.

What is probability?

The chance of happening an event out of all the possible outcomes is called the probability of an event.

The probability of two independent events

P(A and B)=P(A)*P(B)

The probability that the winning ticket will have the letter e on it. There are 5 vowels in the alphabet (a, e, i, o and u). So, the probability for the first letter to be e is:

P(e) =1/5

There are 4 prime numbers between 0 and 10 (2, 3, 5, 7) so the probability for the number to be a 5 is:

P(B) =1/4

So, the probability of getting a ticket that starts with an e and ending with a 5 is:

P(A and B)=P(A)*P(B)

= 1/5 x 1/4 =1/20

In percentage , probability is 1/20 x 100 % =5%

Hence, the probability is 5%

Learn more about probability.

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