Multiple choice

In a dice game, if a player rolls two dice, then his score will be the larger of the two numbers on the dice and if he rolls a doublet, his score will be the same number as the number in doublet. For example, if he rolls 4 and 6, his score will be 6 and if he rolls a doublet, e.g. 3 and 3, then his score will be 3. What is the probability that his score is 4 or more?

  1. 1 4

  2. 7 36

  3. 5 36

  4. 3 4

  5. 1 2
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The score is less than 4 only when both dice show numbers from 1 to 3. There are 3 x 3 = 9 such outcomes out of 36, so the probability of a score of at least 4 is 1 - 9/36 = 3/4.

AI explanation

The total number of outcomes when rolling two dice is 36, and we must find the outcomes where the maximum of the two numbers is at least 4. The complement event is the score being 3 or less, which means both dice show 1, 2, or 3, giving 3 times 3 equals 9 outcomes. Therefore, the number of favorable outcomes for a score of 4 or more is 36 minus 9, which is 27, making the probability 27/36, or 3/4. The result is 3/4.

Keep practicing — related questions