Explanation

• When 3 coins are tossed, there are 2^3 = 8 possible outcomes.
• Only one of these outcomes is TTT (3 tails), so the probability is 1/8.

Explanation

Definition of Mode:

The mode is the value that appears most frequently in a data set.

Frequency Check:

2 appears 1 time

4 appears 1 time

2.7 appears 2 times ← Most frequent

8 appears 1 time

4.7 appears 1 time

Mode = 2.7

Explanation

A data bus is a set of parallel wires or lines that carry data in binary form.

- Each data line carries 1 bit of data.

- So, if a bus has 32 data lines, it can carry:

  32 lines × 1 bit per line = 32 bits

Explanation

Total ways = (12 2) = 66; same color ways = 10 + 6 + 3 = 19

Different color ways = 66 - 19 = 47; so probability = 47/66.

Explanation

Mode is the value that occurs most often in a data set.

Here, 7 is repeated more than any other number.

Explanation

Step 1: Arrange in ascending order → 1, 3, 3, 6, 8, 10

Step 2: Median = average of 3rd and 4th terms 3 + 6 / 2 = 4.5

Explanation

Step 1: Total balls = 4 + 6 + 5 = 15

Step 2: Probability = 4 / 15

Explanation

As given:    (8 + 12 + 15 + 21 + x + 11)/ 6 = 17

67+x = 17 x 6

67+x = 102

        x = 102-67

         x = 35

Explanation

Total marbles = 5  

You remove 4 marbles (randomly)  

We want the probability yellow is among the 4 removed.

There are 5 marbles, and you’re removing 4, so the chance that yellow is among them is:

= Number of favorable outcomes / Total outcomes  

Yellow is in 4 out of 5 possible selections →  

P(yellow is removed) = 4/5  

Explanation

Probability Calculation

Given: Three unbiased coins are tossed.

Total possible outcomes = 2^3 = 8

Favorable outcomes for getting exactly 2 heads: HHT, HTH, THH.

Number of favorable outcomes = 3

Probability = Number of favorable outcomes/Total possible outcomes = 3/8