Chance of two events in a row

Answer Key - Grade 8 Math Worksheet

Circle the best answer, or write your answer on the line.

1. 1.

   Ari's bag has 5 red and 3 blue marbles. Ari draws one without looking. It is put back, and Ari draws again. Which product gives the chance both are blue?

   • 3/8 × 3/8
   • 3/8 + 3/8
   • 3/8 × 2/7
2. 2.

   Bo's bag has 4 red and 5 blue marbles. Bo draws two without looking, and the first is not put back. Which product gives the chance of red, then blue?

   • 4/9 × 4/8
   • 4/9 × 5/9
   • 4/9 × 5/8
3. 3.

   Esme has letter tiles M, A, T and H. Esme draws two without looking, and the first is not put back. Which product gives the chance of A, then T?

   • 1/4 + 1/3
   • 1/4 × 1/4
   • 1/4 × 1/3
4. 4.

   Jun rolls a fair number cube twice. What is the chance the first roll is greater than 4 and the second roll is even, in simplest form?

   1/6
5. 5.

   Bag A has 2 red and 3 white marbles; bag B has 3 red and 1 white. Kira draws one from each, without looking. What is the chance both are red, in simplest form?

   3/10
6. 6.

   Luz spins a spinner with 4 equal parts (red, blue, yellow, green) twice. What is the chance the first is blue and the second is not blue, in simplest form?

   3/16
7. 7.

   Noah's bag has 5 red and 7 blue marbles. Noah draws two without looking, and the first is not put back. What is the chance both are red, in simplest form?

   5/33
8. 8.

   Pia puts cards numbered 1 to 10 in a hat. Pia draws two without looking, and the first is not put back. What is the chance both are even, in simplest form?

   2/9
9. 9.

   Tala's bag has 4 red and 6 blue marbles. Tala draws two without looking, and the first is not put back. What is the chance of red, then blue, in simplest form?

   4/15
10. 10.

    Zee has the 6 letter tiles of BANANA. Zee draws two without looking, and the first is not put back. What is the chance both are N, in simplest form?

    1/15