Answer:
1/8
Step-by-step explanation:
There's two ways you can solve this.
Method 1: Let's say you grab the socks one at a time. The first sock you grab has a 6/16 probability of being red. If the sock is red, then the second sock you grab has a 5/15 probability of being red, because there's one less red sock and one less sock total. So the overall probability is:
P = 6/16 × 5/15 = 1/8
Method 2: There are ₆C₂ ways to choose 2 red socks from 6 red socks. There are ₁₆C₂ ways to choose any 2 socks from all 16 socks. So the probability that both socks you choose are red is:
P = ₆C₂ / ₁₆C₂ = 15 / 120 = 1/8
The probability that both socks are red is 1/8 if the drawer contains 6 red socks and 10 blue socks
It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have:
Total number of socks= 6+10 = 16
Total ways of selecting = C(16, 2) = 120
Ways of selecting 2 red socks from 6 = C(6, 2) = 15
The probability = 15/120 = 1/8
Thus, the probability that both socks are red is 1/8 if the drawer contains 6 red socks and 10 blue socks
Learn more about the probability here:
brainly.com/question/11234923
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