Explanation

When a dice is rolled, there are 6 possible outcomes: 1, 2, 3, 4, 5, and 6.

The numbers greater than 4 are 5 and 6, which are 2 outcomes.

So, the probability of getting a number greater than 4 is:

Probability = Number of favorable outcomes / Total number of outcomes

= 2/6

= 1/3

Explanation

Total balls = 4 red + 5 blue + 6 green = 15 balls

Ways to draw 2 balls from 15 = C(15,2) = 15×14/2 = 105  

Ways to draw 2 green from 6 = C(6,2) = 6×5/2 = 15

Probability both green = 15/105 = 1/7

Last verified on 13-06-2026

Explanation

When a die is rolled twice, total outcomes = 6 × 6 = 36

We need sum > 9, so sums 10, 11, 12

Sum 10: (4,6), (5,5), (6,4) → 3 ways  

Sum 11: (5,6), (6,5) → 2 ways  

Sum 12: (6,6) → 1 way  

Total favorable outcomes = 3 + 2 + 1 = 6

Probability = favorable / total = 6/36 = 1/6.

Last verified on 10-06-2026

Explanation

3 coins → total outcomes = 2³ = 8

Exactly 2 heads: HHT, HTH, THH → 3 outcomes

Probability = favorable / total = 3/8

Last verified on 09-06-2026

Explanation

• Mean = (4 + 7 + 8 + 10 + 12) ÷ 5
• Mean = 41 ÷ 5 = 8.2
• Mean is the average value of a data set.

Last verified on 08-06-2026