Question

Suppose one rolls a die and then selects cards from a deck based on the die roll. What is the probability of getting at least one:

(a) Even number.
(b) Heart.
(c) Red card.
A) 1/3,1/4,1/2
B) 1/2,1/4,1/3
C)1/3,1/3,1/4
D)1/4,1/3,1/2

Answer 1

If one rolls a die and then selects cards from a deck based on the die roll. What is the probability of getting at least one then the answer is B) 1/2,1/4,1/2.

Step-by-step explanation:

Let's break down the calculations step by step:

(a) Probability of getting at least one even number when rolling a die:

There are three even numbers (2, 4, 6) on a six-sided die.

Probability = Number of favorable outcomes / Total number of outcomes

Probability = 3/6 = 1/2

(b) Probability of drawing at least one heart from a standard deck:

There are 13 hearts in a deck of 52 cards.

Probability = Number of favorable outcomes / Total number of outcomes

Probability = 13/52 = 1/4

(c) Probability of selecting at least one red card from a standard deck:

There are 26 red cards in a deck of 52 cards.

Probability = Number of favorable outcomes / Total number of outcomes

Probability = 26/52 = 1/2

Therefore the answer is B) 1/2,1/4,1/2

Missing Informtion:

A) 1/3,1/4,1/2

B) 1/2,1/4,1/2

C)1/3,1/3,1/4

D)1/4,1/3,1/2