At a party, the hosts are giving out door prizes. Each guest receives a numbered ticket and a random drawing will be held for th
1 answer:
Answer:
The probability of winning the last prize is
Step-by-step explanation:
Total Number of guests = 22
Total Number of prizes = 14
We have to find the probability of winning the last prize. When its turn to announce the last prize, the previous all prizes would have been already distributed. This means, 13 of the prizes would have been already distributed. Since multiple winning is not allowed, the last prize would be distributed in the remaining guests.
After distributing 13 prizes, the number of guests who can win the last prize will be = 22 - 13 = 9
We have only 1 last prize and 9 people among which only 1 will win the prize. Probability is defined as the ratio of favorable outcomes to total number of outcomes.
In this case the favorable outcome is the person with numbered ticket who is going to win a prize. This means favorable outcome is only 1. Total number of outcomes is total number of people remaining, which is 9.
Therefore, the probability of winning the last prize is 1 in 9 i.e.
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Answer:
a) ⇒
b) ⇒
c) ⇒
Step-by-step explanation:
Data provided in the question:
Total Number of pieces = 4 + 2 + 6 = 12
P( Black piece ) =
P( Striped piece ) =
P( Dotted piece ) =
Now,
a) P(Both the pieces are dotted) = P( Dotted piece ) × P( Dotted piece )
⇒ ×
⇒
⇒
b) P(the first piece is black and the second piece is dotted)
= P( Black piece ) × P( Dotted piece )
⇒ ×
⇒
⇒
c) P(one piece is black and one piece is striped)
= P( Black piece ) × P( Striped piece )
⇒ ×
⇒
⇒