A box contains 24 tiles. Each tile has certain properties:
Each tile is made of wood or plastic.
Each tile is red, yellow, or blue.
Each tile is a triangle, square, pentagon, or circle.
There is exactly one tile for each combination of properties. For example, there is one red circle that is made of wood.
Steve chooses one tile, and Ellen chooses a different tile.
What is the probability that both tiles are red?
Hello,
There are a total of 24 tiles, out of which 3 are red (one of each shape), 3 are yellow (one of each shape), and 3 are blue (one of each shape). Therefore, the probability of Steve choosing a red tile is 3/24, or 1/8.
After Steve has chosen a tile, there are now 23 tiles left, out of which 2 are red (of different shapes) and 21 are not red. Therefore, the probability of Ellen choosing a red tile, given that Steve has already chosen a tile, is 2/23.
To find the probability that both tiles are red, we need to multiply the probability of Steve choosing a red tile by the probability of Ellen choosing a red tile given that Steve has already chosen a tile:
P(both tiles are red) = P(Steve chooses a red tile) × P(Ellen chooses a red tile given that Steve has already chosen a tile)
= (1/8) × (2/23)
= 1/92
Therefore, the probability that both tiles are red is 1/92, or approximately 0.01.
you can see whole tutorial at ConnectEBT.com
+8 Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
+8 Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics. My Insurance Info
