Question

A square in the board below and a letter in the word ATTENTION is chosen at

random

P(greater than 4, then T)

Write the probability as a fraction in simplest form,

Answer 1

To find the probability, we need to determine the size of the group of interest, the size of the sample, and the favorable outcomes. The probability is 1/77.

Step-by-step explanation:

To find the probability, we need to determine the size of the group of interest, the size of the sample, and the favorable outcomes. The group of interest is vowels in the word 'ATTENTION', which consists of 3 vowels. The sample is the total number of tiles picked, which is 7. To have more than 4 vowels and the letter 'T', we need to have all 4 vowels and the letter 'T' pick in the sample. The probability is calculated as:

P(greater than 4, then T) = P(4 vowels and T) / P(any 7 tiles)

P(greater than 4, then T) = (4/44) * (1/7) = 4/308 = 1/77.

Answer 2

4 /15

Step-by-step explanation:

From the number cube :

Count of Numbers greater than 4 = 16

Sample space of number cube = 20

P(number greater than 4) = 16 / 20 = 4/5

Word : ATTENTION

Count of letters in attention = 9

Count of T's in attention = 3

P(choosing T) = 3 / 9 = 1/3

P(greater than 4, then T) = 4/5 * 1/3 = 4 /15