Questions: A jar contains 40 red marbles numbered 1 to 40 and 36 blue marbles numbered 1 to 36. A marble is drawn at random from the jar. Find the probability of the given event. Please enter reduced fractions. (a) The marble is red. P( red )= (b) The marble is odd-numbered. P( odd )= (c) The marble is red or odd-numbered. P( red or odd )= (d) The marble is blue or even-numbered. P( blue or even ) =

A jar contains 40 red marbles numbered 1 to 40 and 36 blue marbles numbered 1 to 36. A marble is drawn at random from the jar. Find the probability of the given event. Please enter reduced fractions.
(a) The marble is red. P( red )= 
(b) The marble is odd-numbered. P( odd )= 
(c) The marble is red or odd-numbered. P( red or odd )= 
(d) The marble is blue or even-numbered. P( blue or even ) =
Transcript text: A jar contains 40 red marbles numbered 1 to 40 and 36 blue marbles numbered 1 to 36. A marble is drawn at random from the jar. Find the probability of the given event. Please enter reduced fractions. (a) The marble is red. $P($ red $)=$ $\square$ (b) The marble is odd-numbered. $P($ odd $)=$ $\square$ (c) The marble is red or odd-numbered. $P($ red or odd $)=$ $\square$ (d) The marble is blue or even-numbered. $P$ (blue or even) $=$ $\square$
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Solution

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Solution Steps

Step 1: Total Probability Calculation

Total number of marbles in the jar: 76

Step 2: Event Probability Calculation

Probability of drawing a red marble: 0.53

Final Answer:

The probability of the event is 0.53

Step 1: Total Probability Calculation

Total number of marbles in the jar: 76

Step 2: Event Probability Calculation

Probability of drawing a marble with number 1: 0.03 Probability of the combined event: 0.03

Final Answer:

The probability of the event is 0.03

Step 1: Total Probability Calculation

Total number of marbles in the jar: 76

Step 2: Event Probability Calculation

Probability of drawing a blue marble: 0.53 Probability of drawing a marble with number 1: 0.03 Probability of the combined event: 0.54

Final Answer:

The probability of the event is 0.54

Step 1: Total Probability Calculation

Total number of marbles in the jar: 76

Step 2: Event Probability Calculation

Probability of drawing a blue marble: 0.47 Probability of drawing a marble with number 2: 0.03 Probability of the combined event: 0.49

Final Answer:

The probability of the event is 0.49

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