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Theoretical Probability

A fair 6-sided die

Roll a fair 6-sided die and let $A$ be the event "rolling a 3".
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$n\left(A\right)=$ .

$n\left(U\right)=$ .

The probability of rolling a 3 on a fair 6-sided die is (as a fraction) $P\left(A\right)=$ .

Let $B$ be the event "rolling an even number".
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$n\left(B\right)=$ .

$n\left(U\right)=$ .

The probability of rolling an even number on a fair 6-sided die is (as a fraction) $P\left(A\right)=$ .

A deck of cards

Pick one random card from the deck.
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$n\left(U\right)=$ .

Answer the following as fractions.

The probability of picking the 5 of diamonds is $P\left(\text{♦5}\right)=$

The probability of picking a heart is $P\left(\text{♥}\right)=$

The probability of picking a face card is (J, Q or K) $P\left(\text{face}\right)=$

Other examples

Answer the following as fractions.

Choose a random integer from 1 to 5 inclusive. $P\left(\text{prime number}\right)=$

Choose a random vowel. $P\left(\text{u}\right)=$

The letters A, B, and C are arranged randomly. $P\left(\text{B is in the middle}\right)=$

Exercises

(11D on P.258) #1, 3, 5, 8, 11