Answer:
0.0014 = 0.14%
Step-by-step explanation:
First we need to find the total number of pairs:
9 + 7 + 6 + 3 = 25 pairs
Then, we need to find the probability for each case:
First socks black: 7 pairs over 25: P1 = 7/25
Second socks white: 9 pairs over 24: P1 = 9/24 = 3/8
Third socks white: 8 pairs over 23: P1 = 8/23
Fourth socks brown: 6 pairs over 22: P1 = 6/22 = 3/11
Fifth socks blue: 3 pairs over 21: P1 = 3/21 = 1/7
The final probability will the the product of all probabilities above:
P = (7/25) * (3/8) * (8/23) * (3/11) * (1/7) = 0.0014 = 0.14%
Answer:
567/398475 in fraction or 0.0014229249 in decimal
Step-by-step explanation:
In the question, we are given these values
Total pair of socks = 25 pairs of socks
9 pairs of white socks
7 pairs of black socks
6 pairs of brown socks
3 pairs of blue socks
From the question, we can see that, this is probability without replacement.
Hence,
P(Black then white then white the brown then blue)=
7/25 × 9/24× 8/23 ×6/22 × 3/21
= 9072/6375600
= 567/398475
Therefore, the Probability of picking a Black socks then white socks then white socks , then brown socks and then blue socks = 567/398475 in fraction or 0.0014229249 in decimal
