Question

1) Write answers in percent form, round to the nearest tenth.

1. Determine the probability of 2 rainy days in a row when the probability of rain on each single day is 54%
   1. Answer: %

1. Determine the probability of 2 sunny days in a row when the probability of rain on each single day is 54%
   1. Answer: %

2)

Jenelle draws one card from a standard deck of 52 cards.

1. Determine the probability of drawing either a jack or a ten?
   Write your answer as a reduced fraction.
   1. Answer =

1. Determine the probability of drawing either a jack or a club?
   Write your answer as a reduced fraction.
   1. Answer =

Answer 1

We assume each event is independent of the other.

1)a)

Determine the probability of 2 rainy days in a row when the probability of rain on each single day is 54%

Probability of 2 rainy days in row = P ( rainy on 1st day) * P(rainy on 2nd day)

= 0.54 * 0.54    (since probability of raining is 54%=0.54 on each day)

= 0.2916 0.30

Answer: 30%

b)

Determine the probability of 2 sunny days in a row when the probability of rain on each single day is 54%

If probability of rainy is 54% then probability of sunny day is 46% (100-54)

Probability of 2 sunny days in row = P (sunny on 1st day) * P(sunny on 2nd day)

= 0.46 * 46

= 0.2116 0.21

Answer: 21%

2)a)

Jenelle draws one card from a standard deck of 52 cards.

Determine the probability of drawing either a jack or a ten?

There are 4 jacks out of 52 cards. Therefore probability of a jack card is  

There are 4 ten out of 52 cards. Therefore probability of a ten is  

Probability of drawing either a jack or a ten = P( Drawing a jack) + P( Drawing a ten)

= +

Answer: = 0.1538

Determine the probability of drawing either a jack or a club

Consider this like an example of union

There are 4 jacks out of 52 cards. Therefore probability of a jack card is  

There are 13 clubs out of 52 cards. Therefore probability of a club is  

Probability of drawing either a jack or a club = P( Drawing a jack) + P( Drawing a club) - P(Drawing a jack of clubs)

= + - ( probability of jack of club is 1 out of 52)

Answer: = = 0.3077