Chance of two events in a row

Answer Key - Grade 8 Math Worksheet - Challenge Me

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

1. 1.

   Bo's bag has 4 red and 4 blue marbles. Bo draws three without looking, and none are put back. What is the chance all three are red, in simplest form?

   1/14
2. 2.

   Esme has the 5 letter tiles of APPLE. Esme draws three without looking, and none are put back. What is the chance of P, then P, then L?

   1/30
3. 3.

   Jun puts cards numbered 1 to 6 in a hat. Jun draws three without looking, and none are put back. What is the chance of drawing 1, then 2, then 3?

   1/120
4. 4.

   Milo puts cards numbered 1 to 9 in a hat. Milo draws two without looking, and the first is not put back. What is the chance of odd, then even, in simplest form?

   5/18
5. 5.

   Noah has the 6 letter tiles of PENCIL. Noah draws two without looking, and the first is not put back. What is the chance of a vowel, then a consonant?

   4/15
6. 6.

   Pia's bag has 4 red and 2 blue marbles. Pia draws two without looking, and the first is not put back. What is the chance of one red and one blue, in either order?

   8/15
7. 7.

   Ren puts cards numbered 1 to 8 in a hat. Ren draws two without looking, and the first is not put back. What is the chance of one odd and one even, in either order?

   4/7
8. 8.

   Tala spins a spinner with 4 equal parts (red, blue, yellow, green) twice. What is the chance of one red and one blue, in either order, in simplest form?

   1/8
9. 9.

   Ari's bag has 2 red and 5 blue marbles. Ari draws two without looking; the first is not put back. Which gives the chance of one of each color, in either order?

   • 2/7 × 5/6
   • 2/7 × 5/6 + 5/7 × 2/6
   • 2/7 × 5/7 + 5/7 × 2/7
10. 10.

    Bo puts cards numbered 1 to 4 in a hat. Bo draws one without looking. It is put back, and Bo draws again. Which product gives the chance of a 4 both times?

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