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Math  /  Discrete

QuestionYou spin the spinner, pick a card, and roll a die. How many outcomes are possible? Video
J K □\square Submit

Studdy Solution

STEP 1

1. The spinner has two sections labeled 4 and 5.
2. There are two cards labeled J and K.
3. The die is a standard six-sided die with faces numbered 1 through 6.
4. Each event (spinning the spinner, picking a card, rolling a die) is independent.

STEP 2

1. Determine the number of outcomes for each individual event.
2. Calculate the total number of possible outcomes by multiplying the number of outcomes for each event.

STEP 3

Determine the number of outcomes for spinning the spinner. Since the spinner has two sections:
Number of outcomes for spinner=2 \text{Number of outcomes for spinner} = 2

STEP 4

Determine the number of outcomes for picking a card. Since there are two cards:
Number of outcomes for picking a card=2 \text{Number of outcomes for picking a card} = 2

STEP 5

Determine the number of outcomes for rolling a die. Since the die has six sides:
Number of outcomes for rolling a die=6 \text{Number of outcomes for rolling a die} = 6

STEP 6

Calculate the total number of possible outcomes by multiplying the number of outcomes for each event:
Total outcomes=2×2×6 \text{Total outcomes} = 2 \times 2 \times 6
Total outcomes=24 \text{Total outcomes} = 24
The total number of possible outcomes is:
24 \boxed{24}

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