Calculate the probability for the following situation, then select the correct answer:

You are tossing a coin, then rolling a die, then drawing a card from a deck of cards. What is the probability that you will get: a head AND an odd number on the die AND a card greater than 6 (assume the ace is equal to 1) from the deck?

Respuesta :

The probability is P = 0.135

How to find the probability?

First, we need to find the individual probabilities, that are given by the quotient between the number of outcomes that meet the condition and the total number of outcomes.

  • P(head) = 1/2
  • P(odd number) = 3/6  (there are 3 odd numbers on the dice)
  • P(card greater than 6) = 28/52 (28 cards with numbers larger than 6).

The joint probability is given by the product between the individual probabilities, so we get:

P = (1/2)*(3/6)*(28/52) = 0.135

If you want to learn more about probability:

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