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Probability Theory

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Challenge

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Let's imagine one situation that may be real for you. You have a tasty basket with:

  • 5 cookies with a cherry jam,
  • 5 chocolate cookies,
  • 10 chocolate candies,
  • 5 chocolate bars,
  • 15 biscuits,
  • 10 bottles of lemonade.

Calculate the probability that you will randomly pull out an item that includes chocolate, or a cookie.

We can divide our food into influential groups:

  1. The first one: cookies (ones with cherry jam and chocolate ones).
  2. The second one: is chocolate items (chocolate bars, candies, and chocolate cookies).

chocolate

Follow the algorithm:

  1. Calculate the probability of pulling out a cookie.
  2. Calculate the probability of pulling out item that includes chocolate (chocolate sweet).
  3. Calculate the probability of pulling out a chocolate cookie.
  4. Calculate the resulting probability.

Solución

# Calculate the probability of getting cookie
P_cookie = 10 / 50
# Calculate the probability of getting chocolate sweets
P_chocolate = 20 / 50
# Calculate the probability of getting chocolate cookie
P_chocolate_cookie = 5 / 50

# Calculate the resulting probability
P = P_cookie + P_chocolate - P_chocolate_cookie

print("The probability is:", P)

¿Todo estuvo claro?

¿Cómo podemos mejorarlo?

¡Gracias por tus comentarios!

Sección 2. Capítulo 3
# Calculate the probability of getting cookie
P_cookie = ___ / 50
# Calculate the probability of getting chocolate sweets
P_chocolate = ___ / ___
# Calculate the probability of getting chocolate cookie
P_chocolate_cookie = ___

# Calculate the resulting probability
P = P_cookie + ___ - ___

print("The probability is:", P)
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