A set of cards has a beach, a road, and a desert. Complete the table below to find the probability of randomly drawing, with replacement, a beach card and a desert card.
Beach
Road
Desert
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To find the probability of randomly drawing a beach card and a desert card, we first need to identify the total number of cards in the set and how many of each type there are.
Assuming there is one card of each type:
– Total cards = 3 (1 beach, 1 road, 1 desert)
1. Probability of drawing a beach card:
– Probability = Number of beach cards / Total number of cards = 1/3
2. Probability of drawing a desert card:
– Probability = Number of desert cards / Total number of cards = 1/3
Since we are drawing with replacement, the events are independent. Therefore, we can multiply the probabilities:
3. Combined probability of drawing a beach card followed by a desert card:
– Combined Probability = Probability of beach card × Probability of desert card = (1/3) × (1/3) = 1/9
So, the probability of drawing a beach card and then a desert card is 1/9. If you have any follow-up questions or need more detailed explanations, feel free to ask!