What is the probability of picking a spade from a normal pack of cards and rolling an odd number on a die?a)½b)0c)¼d)1/8Correct answer is option 'D'. Can you explain this answer?

Question

What is the probability of picking a spade from a normal pack of cards and rolling an odd number on a die?&#8203;a)&#189;b)0c)&#188;d)1/8Correct answer is option 'D'. Can you explain this answer?

Answer

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.

Answer

Probablity of getting odd no. while tossing a die = 3/6 = 1/2

Probablity of getting spade from deck of 52 cards = 13/52 = 1/4

Probablity of picking a spade from normal pack and rolling odd number = 1/2*1/4 = 1/8

Answer

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.

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