Aweather forecaster predicts that their is 50% chance of rain on saturday and a 40% chance of rain on sunday. if these probabilities are correct, what is the probability that it will rain both days?
group of answer choices:
20%
45%
10%
90%
a card is randomly drawn from a shuffled deck of cards and not replaced. a second card is drawn from the remaining shuffled cards. what is the approximate probability that both cards are red?
group of answer choices:
49%
50%
24.5%
25%

i) Given : A weather forecaster predicts that their is 50% chance of rain on Saturday and a 40% chance of rain on Sunday.

i.e. P(Saturday)= 0.50 and  P(Sunday)= 0.40

Since rain happen on each day is independent of previous days.

Then, the probability that it will rain both days will be :-

P(Saturday and Sunday) = P(Saturday)×P(Sunday)

Hence, the probability that it will rain both day= 20%

ii) Total number of cards in deck = 52

Number of red cards = 26

Let A be the event of drawing first red card and B be the event of drawing second red card.

Since , probability for any event =

Then ,

After getting first card , total cards left = 51

Total red cards left = 25

Then, Probability of getting second red card

Using conditional probability formula , we have

Hence, the approximate probability that both cards are RED= 24.5%

answer: 48

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