5. In the game "rock, paper, scissors," 2 players make hand signs, Players can make a hand sign for rock, paper, or scissors.
On the count of 3, players show their hand signs.
Suppose the plyers choose their signs at random.
In 75 games, how many times would you expect to see both players showing rock?

Uhmm look in the explanation-

Step-by-step explanation:

Number of outcomes = 3 (rock, paper, and scissor)

Number of games = 75

Combinations:

1. Rock - Paper

2. Paper - Rock

3. Paper - Scissor

4. Scissor - Paper

5. Rock - Scissor

6. Scissor - Rock

7. Paper - Paper

8. Rock - Rock

9. Scissor - Scissor

Number of times the players do rock = 1/9 * 75 = 25/3. 25/3 = 8.3

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2