National Achievement Test in Mathematics

In how many ways can you arrange the letters in the word “heptagon”?

In how many ways can you arrange the letters of the word “happy”?

In how many ways can a committee of three be formed from a group of 10 members?

How many ways can you sit 5 people in a round table with 5 seats?

A coin is tossed. Find: a. the sample space b. the probability of getting a head

If a card is drawn from a well-shuffled deck of 52 cards, what is the probability that it is a king of diamonds?

A box contains five red, two white, and three green balls. If a ball is selected at random, find the probability that it is a. red b. green c. not red d. black

A card is selected at random from an ordinary deck of playing cards. Find the probability that the card is a. a heart b. is black c. a 4 or an 8 d. a red queen

A large box contains 365 tickets, one for each day of a common year. Suppose one ticket is selected at random. a.) Find the probability that the selected day is in December. b.) Find the probability that the selected day is your birthday.