Explanation Given info: The table shows the results from the ‘order accuracy at popular fast food chains’, in which McDonalds receives 329 accurate orders and 33 not accurate orders, Burger King receives 264 accurate orders and 54 not accurate orders, Wendy’s receives 249 accurate orders and 31 not accurate orders, and Taco Bell receives 145 accurate orders and 13 not accurate orders. Calculation: The total number of orders for each popular fast food chains is obtained as shown in Table (1). McDonald’s Burger King Wendy’s Taco Bell Total Order Accurate 329 264 249 145 987 Order Not Accurate 33 54 31 13 131 Total 362 318 280 158 1,118 Table (1) Let event A denote getting food order from McDonald's and B denote getting food order from Burger King. Probability : The formula for probability of event A is, P ( A ) = Number of ways event A occurs Number of simple events Substitute 362 for ‘Number of ways of event A occurs’ and 1,118 for ‘Number of simple events’ P ( A ) = 362 1 , 118 = 0.3238 The formula for probability of event B is, P ( B ) = Number of ways event B occurs Number of simple events Substitute 318 for ‘Number of ways of event B occurs’ and 1,118 for ‘Number of simple events’ P ( B ) = 318 1 , 118 = 0.2844 The formula for probability of event A and B is, P ( A and B ) = Number of ways event A and B occurs Number of simple events Substitute 0 for ‘Number of ways of event A and B occurs’ and 1,118 for ‘Number of simple events’ There is no common order in the event A andevent B. Addition Rule : The formula for probability of getting event A or event B is, P ( A or B ) = P ( A ) + P ( B ) − P ( A and B ) Substitute 0.3238 for ‘ P ( A ) ’, 0.2844 for ‘ P ( B ) ’ and 0 for ‘ P ( A and B ) ’ P ( A or B ) = 0.3238 + 0.2844 − 0 = 0.6082 Complementary probability: The formula for probability of complement of event A or B is, P ( A or B ¯ ) = 1 − P ( A or B ) Substitute 0

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ISBN: 9780137376643

Author: Triola

Publisher: PEARSON

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Chapter 4.2, Problem 34BB

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To find: The values of P(A or B¯) and P(A¯ or B¯) .

To compare: Whether the results, that is, P(A or B¯) and P(A¯ or B¯) are equal or not.

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The values of P ( A or B ¯ ) and P ( A ¯ or B ¯ ) . To compare: Whether the results, that is, P ( A or B ¯ ) and P ( A ¯ or B ¯ ) are equal or not.

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To find: The values of P(A or B¯) and P(A¯ or B¯) . To compare: Whether the results, that is, P(A or B¯) and P(A¯ or B¯) are equal or not.

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To find: The values of P(A or B¯) and P(A¯ or B¯) .

To compare: Whether the results, that is, P(A or B¯) and P(A¯ or B¯) are equal or not.