Answer: 
Step-by-step explanation:
Given: The total number of ways of to choose 3 contestants out of 7 (including me and my friend)=35..................> Total outcomes.
Favorable outcomes = 2
Then the probability that me and my friend are both chosen =
Thus , the probability that me and my friend are both chosen =
Probability =
(number of possible ways to succeed)
divided by
(total number of possible outcomes) .
Number of ways to succeed = 2 (pick the 'A' or the 'L')
Total number of possible outcomes = 5 (the cards on the table) .
Probability of success = 2/5 = 40% .
Answer:
$3 and $2
Step-by-step explanation:
let p represent popcorn and d drinks , then
2p + 3d = 12 → (1)
3p + 5d = 19 → (2)
multiplying (1) by 3 and (2) by - 2 and adding will eliminate p
6p + 9d = 36 → (3)
- 6p - 10d = - 38 → (4)
add (3) and (4) term by term to eliminate p
0 - d = - 2
- d = - 2 ( multiply both sides by - 1 )
d = 2
substitute d = 2 into either of the 2 equations and solve for p
substituting into (1)
2p + 3(2) = 12
2p + 6 = 12 ( subtract 6 from both sides )
2p = 6 ( divide both sides by 2 )
p = 3
Popcorn costs $3 and a drink costs $2
