What is the value of ?
1 answer:
You might be interested in
Answer:
probability of picking the winning combination
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Since the order is not important, the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Desired outcomes:
The correct five numbers from a set of 5. So
Total outcomes:
Five numbers from a set of 35. So
Probability:
probability of picking the winning combination
Answer:
p ∈ [5 , 6)
Step-by-step explanation:
p + 6 ≥ 11
⇒ p ≥ 11 - 6
⇒ p ≥ 5
⇒ p ∈ [5 , +∞)
3p < 18
⇒ p < 18/3
⇒ p < 6
⇒ p ∈ (-∞ , 6)
Then
p the solution to both equations verify:
p ∈ (-∞ , 6) ∩ [5 , +∞)
Conclusion :
p ∈ [5 , 6)
