Every New Year’s Eve, Pratik buys scarves as gifts for his coworkers. This year, in appreciation of their friendship, Pratik has asked Malachi to pick the first 3 scarves. Ever the trickster, Pratik has added an element of chance to the gift by informing Malachi that he must select his 3 scarves blindly from a hat box containing all 10 of the available gift scarves.
If the hat box contains 3 grey scarves, 4 white scarves, 2 yellow scarves, and a single black scarf, in the table, select a value that would be the probability of Malachi selecting At least one grey scarf from the hat and another value that would be the probability of Malachi selecting Exactly two grey scarves from the hat. Make only two selections, one in each column.
At least one grey scarf | Exactly two grey scarves | |
| | 1/720 |
| | 7/720 |
| | 7/240 |
| | 7/24 |
| | 1/2 |
| | 17/24 |
At least one grey scarf: 17/24
Exactly two grey scarves: 7/240