Probability Simulator
& Analyzer

1# ═══════════════════════════════════════════════════════════════
2#  Probability Simulator & Analyzer
3#  Author  : Animesh Pattnaik  |  BVDUCOE, Pune  |  PBL 2025-26
4# ═══════════════════════════════════════════════════════════════
5
6import random
7import matplotlib.pyplot as plt
8
9n = int(input("Enter number of trials: "))
10
11# ── COIN TOSS ──────────────────────────────────────────────────
12heads = 0
13tails = 0
14
15for i in range(n):
16    toss = random.randint(0, 1)
17    if toss == 1:
18        heads += 1
19    else:
20        tails += 1
21
22print("Heads =", heads)
23print("Tails =", tails)
24
25plt.figure()
26plt.bar(["Heads", "Tails"], [heads, tails])
27plt.xlabel("Outcome")
28plt.ylabel("Count")
29plt.title("Coin Toss Simulation")
30plt.show()
31
32# ── DICE ROLL ──────────────────────────────────────────────────
33dice = [0, 0, 0, 0, 0, 0]
34
35for i in range(n):
36    value = random.randint(1, 6)
37    dice[value - 1] += 1
38
39print("Dice results:", dice)
40
41plt.figure()
42plt.bar([1, 2, 3, 4, 5, 6], dice)
43plt.xlabel("Dice Number")
44plt.ylabel("Frequency")
45plt.title("Dice Roll Simulation")
46plt.show()

1# Coin toss — Bernoulli trial P(H)=0.5
2heads, tails = 0, 0
3
4for i in range(n):
5    toss = random.randint(0, 1)  # 0=Tails 1=Heads
6    if toss == 1: heads += 1
7    else:        tails += 1
8
9print("Heads =", heads)
10print("Tails =", tails)
11plt.bar(["Heads", "Tails"], [heads, tails])
12plt.title("Coin Toss Simulation"); plt.show()

1# Dice roll — Discrete Uniform U{1..6}
2dice = [0] * 6
3
4for i in range(n):
5    value = random.randint(1, 6)  # face 1–6
6    dice[value - 1] += 1
7
8print("Dice results:", dice)
9plt.bar([1,2,3,4,5,6], dice)
10plt.title("Dice Roll Simulation"); plt.show()

1# Install dependency (one-time)
2pip install matplotlib
3
4# Run the simulator
5python3 PBL.py
6
7# Enter when prompted — try these values:
8#   10       → high variance, fun to observe
9#   1000     → clear convergence visible
10#   100000   → near-perfect theoretical match