Question

A number cube (dice) is rolled and a letter is selected from the word GIRAFFE. What is the compound probability of P ( 4 and F) P(EVEN NUMBER AND VOWEL)

Answer 1

P (4 and F) = 1 in 21 or 4.76%

P(EVEN NUMBER AND VOWEL) = 3 in 14 or 21.43%

Explanation:

The probability of rolling a four on a die is 1 in 6.

The probability of picking the letter F in the word GIRAFFE is 2 in 7.

Therefore:

`P (4\ and\ F)=P(4)*P(F)\\ P (4\ and\ F)=(1)/(6)*(2)/(7)\\ P (4\ and\ F)=(1)/(21)= 4.76\%`

The probability of rolling an even number (2, 4 or 6) on a die is 3 in 6.

The probability of picking a vowel (A, E, I) in the word GIRAFFE is 3 in 7.

Therefore:

`P (Even\ and\ Vowel)=P(Even)*P(Vowel)\\ P (Even\ and\ Vowel)=(3)/(6)*(3)/(7)\\ P (Even\ and\ Vowel)=(3)/(14)= 21.43\%`