Question

A spinner has 6 parts numbered 1–6. If the result is 1 or 6, a player wins the number times $10.00. On the other hand, if the result is 2–5, then the player loses the number times $5. What can you say about this game?

The probability of winning is higher than that of losing.
The probabilities of winning and losing are equal.
The probability of losing is higher than that of winning.
There is not sufficient information about the game.

Answer 1

2 numbers win

4 numbers lose

so answer would be The probability of losing is higher than that of winning.

Answer 2

Option C

Explanation:

We are given that a spinner has 6 parts numbered 1-6.

If the result is 1 or 6 then a player wins the number times $10.00.If the result is 2-5 then the player loses the number times $5.

Number of cases when the player wins number times $10.00=1 or 6=2

Number of cases when the player loses the number times $5=2,3,4,5=4

Total number of cases =6

Formula for finding probability

P(E)=
`(Number \;of\; favourable\; cases)/(Total \; number\; of \; cases)`

Applying this formula

The probability of wining=
`(2)/(6)`

The probability of wining=
`(1)/(3)`

The probability of wining=0.33

The probability of losing=
`(4)/(6)`

The probability of losing=
`(2)/(3)`

The probability of losing=0.66

Hence, the probability of losing is higher than that of winning.

Therefore, option C is true.