What is the probability of picking a spade from a normal pack of cards...
Probability of getting odd no. while tossing a die = 3/6 = 1/2
Probability of getting spade from deck of 52 cards = 13/52 = 1/4
Probability of picking a spade from normal pack and rolling odd number = 1/2*1/4 = 1/8
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What is the probability of picking a spade from a normal pack of cards...
Your hunch is right on track. There are an equal number of odd numbers as there are even numbers painted on a fair die. And there are an equal number of red cards as there are black cards in a standard deck of 52 cards. So the four outcomes you list are equally likely.
More generally:
We can use this same approach in more complicated scenarios, like finding the probability that the number resulting from a toss of a tie is a multiple of 3 and the card drawn from a deck of cards is a queen.
What is the probability of picking a spade from a normal pack of cards...
To find the probability of picking a spade from a normal pack of cards and rolling an odd number on a die, we need to multiply the probability of each event.
The probability of picking a spade from a normal pack of cards is 13/52, because there are 13 spades out of 52 cards.
The probability of rolling an odd number on a die is 3/6, because there are 3 odd numbers (1, 3, 5) out of 6 possible outcomes (1, 2, 3, 4, 5, 6).
To find the overall probability, we multiply these probabilities together:
(13/52) * (3/6) = (1/4) * (1/2) = 1/8
Therefore, the probability of picking a spade from a normal pack of cards and rolling an odd number on a die is 1/8.