You pick a card at random. 678 What is P(8 or less than 8)? Choices: (A)60% (B)70% (C)100% (D)30%

Understand the problem: Step 1: Understand the problem. We need to find the probability of picking a card that is an 8 or less than 8 from a standard deck of cards. Calculate favorable outcomes: Step 2: Calculate the total number of favorable outcomes. In a standard deck, there are 4 suits, and each suit has cards numbered from 1 to 10, plus a Jack, Queen, King, and Ace. The Ace is typically considered as 1. So, cards less than or equal to 8 are 1, 2, 3, 4, 5, 6, 7, and 8. That's 8 cards per suit. 8 cards/suit × 4 suits = 32 cards. Calculate total outcomes: Step 3: Calculate the total number of possible outcomes. A standard deck has 52 cards in total. Calculate probability: Step 4: Calculate the probability. Probability (P) of picking a card that is 8 or less = Number of favorable outcomes / Total number of outcomes P = 32 / 52 P = 0.615384615... Convert to percentage: Step 5: Convert the probability to a percentage. P × 100 = 61.54% This rounds to approximately 60%.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

You pick a card at random. $\newline$ $678$ $\newline$ What is $P(8$ or less than $8)$ ? $\newline$ Choices: $\newline$ (A) $60\%$ $\newline$ (B) $70\%$ $\newline$ (C) $100\%$ $\newline$ (D) $30\%$

View step-by-step help

Home

Math Problems

Grade 7

Probability of mutually exclusive events and overlapping events

Full solution

Q. You pick a card at random.

\newline

678

\newline

What is

P(8

or less than

8)

\newline

Choices:

\newline

(A)

60\%

\newline

(B)

70\%

\newline

(C)

100\%

\newline

(D)

30\%

Understand the problem: Step $1$ : Understand the problem. $\newline$ We need to find the probability of picking a card that is an $8$ or less than $8$ from a standard deck of cards.
Calculate favorable outcomes: Step $2$ : Calculate the total number of favorable outcomes. $\newline$ In a standard deck, there are $4$ suits, and each suit has cards numbered from $1$ to $10$ , plus a Jack, Queen, King, and Ace. The Ace is typically considered as $1$ . So, cards less than or equal to $8$ are $1, 2, 3, 4, 5, 6, 7,$ and $8$ . That's $8$ cards per suit. $\newline$ $8$ cards/suit $\times 4$ suits = $1$ $0$ cards.
Calculate total outcomes: Step $3$ : Calculate the total number of possible outcomes. $\newline$ A standard deck has $52$ cards in total.
Calculate probability: Step $4$ : Calculate the probability. $\newline$ Probability ( $P$ ) of picking a card that is $8$ or less = Number of favorable outcomes / Total number of outcomes $\newline$ $P = \frac{32}{52}$ $\newline$ $P = 0.615384615\ldots$
Convert to percentage: Step $5$ : Convert the probability to a percentage. $\newline$ $P \times 100 = 61.54\%$ $\newline$ This rounds to approximately $60\%$ .