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Probability of dice, coin flips, and deck of cards.

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1. A die is tossed 7 times, find the chance that
(a) all rolls show 2 or less
(b) none of the rolls show 2 or less
(c) not all show 2 or less

2. A coin is tossed 4 times, find the chance that
(b) the 1st two tosses are Head and last two are Tails
(c) the 4th is a Head, given the 1st 3 are tails

3. 3 cards are dealt from a well-shuffled deck. Find the chance that you get 2 Reds followed by the King of Spades

4. 4 cards are drawn from a well-shuffled deck. Find the chance that you get all four 6's.

5. A die is tossed 4 times. Find the chance that you get a six on the 1st toss and a two on the others.

Please work each problem ot showing all of the work!

Solution Summary

The solution shows how to calculate probabilities when rolling dice, flipping a coin, and drawing from a deck of cards.

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1. A die is tossed 7 times, find the chance that

(a) All rolls show 2 or less

There are 6 outcomes on a pair of dice. Each roll is independent of other rolls. On a single roll, 2 of the six outcomes are two or less, so on a single roll the probability is 2/6 or 1/3. The probability that 7 consecutive rolls show a 2 or less is 1/3 to the seventh power or:

P = (1/3) (1/3) (1/3) (1/3) (1/3) (1/3) (1/3)

(b) None of the rolls show 2 or less

The probability of not rolling a 2 or less on a single roll is (2/3). The probability of not seeing this on 7 consecutive rolls is:

P = (2/3) (2/3) (2/3) ...

Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.