Match each event described to its probability.
0.25
0.5
0.8
The probability of drawing one card out of standard deck of cards and getting a red card.
The probability of getting heads on a coin and an even number on a die if you roll flip a coin and roll a die at the same time.
The probability of NOT drawing a red marble out of a bag containing 2 green, 8 yellow, 4 red, 3 blue, and 3 orange marbles.
Let’s match each event to its probability step-by-step.
1. The probability of drawing one card out of a standard deck of cards and getting a red card.
– There are 52 cards in total, and half of them (26 cards) are red (hearts and diamonds).
– Probability = Number of red cards / Total number of cards = 26/52 = 0.5
2. The probability of getting heads on a coin and an even number on a die if you flip a coin and roll a die at the same time.
– The probability of getting heads on a coin is 1/2 (0.5).
– There are 3 even numbers on a die (2, 4, 6) out of 6 total numbers.
– Probability of rolling an even number = 3/6 = 1/2 (0.5).
– Combined probability (independent events) = (1/2) * (1/2) = 1/4 = 0.25
3. The probability of NOT drawing a red marble out of a bag containing 2 green, 8 yellow, 4 red, 3 blue, and 3 orange marbles.
– Total marbles = 2 + 8 + 4 + 3 + 3 = 20.
– Number of non-red marbles = 20 – 4 (red)