Question

1.) Find the odds for and the odds against the event rolling a fair die and getting a 3 or 4.

2.) Halfway through the season a soccer player has made 15 penalty kicks in 26 attempts. What is the relative frequency probability that she will make her next penalty kick?

3.) You toss a coin 100 times and get 93 tails. what is the relative frequency probability? Determine the expected frequency of the event as well.

4.) Find the probability of being dealt 5 cards from a stardard 52 card deck, and the cards are all 7 8 9 10, and jack, all of the same suit.

Answer 1

Answer 1:

There are 2 ways in which you can get a 3 or a 4, that is either you get a 3 (1 way) or you get a 4 (2nd way). Now, since die has six sides, there are 4 ways in which you can get something else, either a 1, a 2, a 5, or a 6.

Odds FOR an event are given as the ratio of the no. of ways in which you get a favorable outcome by the no. of ways in which to get an unfavorable outcome.

In this case there are 2 favorable and 4 unfavorable outcomes. So, Odds FOR an event are 2 to 4, which reduces to 1 to 2

Thus, Odds FOR an event = 1 to 2 (or 1:2)

Odds AGAINST an event is the opposite of Odds FOR:

So, Odds AGAINST an event = 2 to 1 (or 2:1)

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