Question Continuation
Shirt: Collared, T-shirt
Pants: Khakis, Jeans, Shorts
Shoes: Sneakers, Flip-Flops, Sandals
Answer:
The probability that he will wear his jeans but not his sneakers = 2/9
Step-by-step explanation:
Given
Shirt: Collared, T-shirt
Pants: Khakis, Jeans, Shorts
Shoes: Sneakers, Flip-Flops, Sandals
First, we need to list out the sample space.
The sample space is the list of all possible dress combination.
With assumption that he must pick one from each category, the sample space represented by S is as follows;
S = { Collared/Khakis/Sneakers, Collared/Khakis/Flip-flops, Collared/Khakis/Sandals, Collared/Jeans/Sneakers, Collared/Jeans/Flip-flops, Collared/Jeans/Sandals,
Collared/Shorts/Sneakers, Collared/Shorts/Flip-flops, Collared/Shorts/Sandals,
T-shirt/Khakis/Sneakers, T-shirt/Khakis/Flip-flops, T-shirt/Khakis/Sandals, T-shirt/Jeans/Sneakers, T-shirt/Jeans/Flip-flops, T-shirt/Jeans/Sandals,
T-shirt/Shorts/Sneakers, T-shirt/Shorts/Flip-flops, T-shirt/Shorts/Sandals}
Total Possible Outcome = 18
Let J represent the outcome that he wears Jean but not sneakers
J = {Collared/Jeans/Flip-flops, Collared/Jeans/Sandals,
T-shirt/Jeans/Flip-flops, T-shirt/Jeans/Sandals,
}
Total Possible Outcome of Jean without sneakers = 4
The probability that he will wear his jeans but not his sneakers is given by (Total Possible Outcome of Jean without sneakers) ÷ (Total Possible Outcome)
The probability that he will wear his jeans but not his sneakers = 4/18
The probability that he will wear his jeans but not his sneakers = 2/9
