pages/1_Probability.py

import streamlit as st
import pandas as pd
import numpy as np 
import matplotlib.pyplot as plt
import random
st.markdown("""
    <style>
    /* Set a soft background color */
    body {
        background-color: #eef2f7;
    }
    /* Style for main title */
    h1 {
        color: #00FFFF;
        font-family: 'Roboto', sans-serif;
        font-weight: 700;
        text-align: center;
        margin-bottom: 25px;
    }
    /* Style for headers */
    h2 {
        color: #FFFACD;
        font-family: 'Roboto', sans-serif;
        font-weight: 600;
        margin-top: 30px;
    }
    
    /* Style for subheaders */
     h3 {
        color: #ba95b0;
        font-family: 'Roboto', sans-serif;
        font-weight: 500;
        margin-top: 20px;
    }
    .custom-subheader {
        color: #00FFFF;
        font-family: 'Roboto', sans-serif;
        font-weight: 600;
        margin-bottom: 15px;
    }
    /* Paragraph styling */
    p {
        font-family: 'Georgia', serif;
        line-height: 1.8;
        color: #FFFFFF; /* Darker text color for better visibility */
        margin-bottom: 20px;
    }
    /* List styling with checkmark bullets */
    .icon-bullet {
        list-style-type: none;
        padding-left: 20px;
    }
    .icon-bullet li {
        font-family: 'Georgia', serif;
        font-size: 1.1em;
        margin-bottom: 10px;
        color: #FFFFF0; /* Darker text color for better visibility */
    }
    .icon-bullet li::before {
        content: "✔️";
        padding-right: 10px;
        color: #b3b3ff;
    }
    /* Sidebar styling */
    .sidebar .sidebar-content {
        background-color: #ffffff;
        border-radius: 10px;
        padding: 15px;
    }
    .sidebar h2 {
        color: #495057;
    }
    </style>
    """, unsafe_allow_html=True) 
st.title('PROBABILITY')
st.markdown("""Probability is a measure of how likely an event is to occur and is expressed as a number between 0 and 1, where:
<ul class="icon-bullet">
<li> 0 means the event will definitely not happen.</li>
<li> 1 means the event will definitely happen.</li>
</ul>
""",unsafe_allow_html=True)
st.latex(r"""
P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}
""")
st.markdown("""Probability is classifed into 2 types:
<ul class="icon-bullet">
<li>Empirical probability</li>
<li>Theoretical probability</li>
</ul>
""",unsafe_allow_html=True)
st.subheader("Empirical probability")
st.markdown("""Empirical Probability is a type of probability that is determined based on Trails rather than theoretical calculations""",unsafe_allow_html=True)
st.latex(r"""
P(E) = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Trials}}
""")
st.markdown("""At infinity Empirical probability will become Theoretical probability""",unsafe_allow_html=True)
st.title("Empirical probability_Caluculation")
st.write("""
This simple experiment will tell you Empirical probability when you click button
""")
Trail_3 = st.number_input("Number of Trials:", min_value=1, max_value=100, value=7,key="Trail_3")
if st.button('Start the Experiment: Will it Rain or Not?',key="start_experiment_2"):
    st.write(f"Running {Trail_3} trials...")
    list1=[]
    for i in range(1, Trail_3 + 1):
        result = random.choice(['Rain', 'No Rain'])
        list1+=[result]
    rain=np.sum(np.array(list1)=='Rain')
    no_rain=np.sum(np.array(list1)=='No Rain')
    p_rain=round(rain/Trail_3,2)
    p_no_rain=round(no_rain/Trail_3,2)
    st.write(f"Event_1:Probability of having rain:{p_rain}")
    st.write(f"Event_1:Probability of having no_rain:{p_no_rain}")
st.subheader("Theoretical probability")
st.markdown("""
Theoretical probability is a type of probability that is calculated based on the possible outcomes and the best part of Theoretical probability is it is independent of Trails.""",unsafe_allow_html=True)
st.latex(r"P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}")
st.title("Theoretical probability_Caluculation")
st.write("""
This simple experiment will tell you Theoretical probability when you click button
""")
Trail_4 = st.number_input("Number of Trials:", min_value=1, max_value=100, value=7,key="Trail_4")
if st.button('Start the Experiment: Will it Rain or Not?',key="start_experiment_3"):
    st.write(f"Running {Trail_4} trials...")
    list1=[]
    for i in range(1, Trail_4 + 1):
        result = random.choice(['Rain', 'No Rain'])
        list1+=[result]
    p_rain_1=1/len(np.unique(list1))
    p_no_rain_1=1/len(np.unique(list1))
    st.write(f"Event_1:Probability of having rain:{p_rain_1}")
    st.write(f"Event_1:Probability of having no_rain:{p_no_rain_1}")