In a track meet five entrants of an equal ability are competing. What is the probability that
A) the finish will be in the descending order of the entrants ages?
B) sandy will be first?
C) Shanaze is the first and Sandy second
To answer these questions, we need more information. Specifically, we need to know how many entrants are participating in the track meet. Can you please provide that information?
A dice is rolled. A card is drawn from a deck of face cards (i.e. obly jack, queen, king of each suit) A coun is flipped.
A) draw a tree diagram to define the sample space for this game.
B) you win the game if you toss tails, draw a heart, and roll an even number. Find the probability that you do not win.
A) To create a tree diagram for this game, we need to consider the possible outcomes at each step.
Step 1: Tossing a coin
- Heads (H)
- Tails (T)
Step 2: Drawing a card from a deck of face cards
- Heart (H)
- Non-heart (N)
Step 3: Rolling a die
- Even number (E)
- Odd number (O)
Combining these possibilities, we can construct a tree diagram as follows:
H N
/ \
H N
/ \ / \
E O E O
B) To find the probability of not winning, we need to find the probability of the complement event (not winning) and subtract it from 1.
The events required for winning are: Tossing tails (T), drawing a heart (H), and rolling an even number (E).
So, the probability of not winning is equal to the probability of any of the following scenarios:
1. Tails, non-heart, even number: P(T) * P(N) * P(E)
2. Heads, heart, odd number: P(H) * P(H) * P(O)
3. Tails, non-heart, odd number: P(T) * P(N) * P(O)
To find the probabilities for each event, we need to know the specific values. Please provide the probabilities for each event (or assume each event is equally likely), and I can calculate the probability of not winning.